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Finding the Fourth Proportional to 648,221.80, 972,332.70 and 411,831.40

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Solution

The fourth proportional to 648,221.80, 972,332.70 and 411,831.40 is: 617,747.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,221.80 : 972,332.70 = 411,831.40 : x
  2. Step 2: Convert to fraction form
    648,221.80/972,332.70 = 411,831.40/x
  3. Step 3: Cross multiply
    648,221.80x = 972,332.70 × 411,831.40
  4. Step 4: Simplify right side
    648,221.80x = 400,437,137,106.78
  5. Step 5: Solve for x
    x = 400,437,137,106.78/648,221.80
  6. Step 6: Final answer
    x = 617,747.10

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.