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Finding the Fourth Proportional to 442,216, 609,831.84 and 297,348.16

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Solution

The fourth proportional to 442,216, 609,831.84 and 297,348.16 is: 410,053.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,216 : 609,831.84 = 297,348.16 : x
  2. Step 2: Convert to fraction form
    442,216/609,831.84 = 297,348.16/x
  3. Step 3: Cross multiply
    442,216x = 609,831.84 × 297,348.16
  4. Step 4: Simplify right side
    442,216x = 181,332,375,533.41
  5. Step 5: Solve for x
    x = 181,332,375,533.41/442,216
  6. Step 6: Final answer
    x = 410,053.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.