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Finding the Fourth Proportional to 648,051.30, 972,076.95 and 410,688.90

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Solution

The fourth proportional to 648,051.30, 972,076.95 and 410,688.90 is: 616,033.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,051.30 : 972,076.95 = 410,688.90 : x
  2. Step 2: Convert to fraction form
    648,051.30/972,076.95 = 410,688.90/x
  3. Step 3: Cross multiply
    648,051.30x = 972,076.95 × 410,688.90
  4. Step 4: Simplify right side
    648,051.30x = 399,221,213,310.86
  5. Step 5: Solve for x
    x = 399,221,213,310.86/648,051.30
  6. Step 6: Final answer
    x = 616,033.35

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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.