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Finding the Fourth Proportional to 468,077.40, 702,116.10 and 413,839.80

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Solution

The fourth proportional to 468,077.40, 702,116.10 and 413,839.80 is: 620,759.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,077.40 : 702,116.10 = 413,839.80 : x
  2. Step 2: Convert to fraction form
    468,077.40/702,116.10 = 413,839.80/x
  3. Step 3: Cross multiply
    468,077.40x = 702,116.10 × 413,839.80
  4. Step 4: Simplify right side
    468,077.40x = 290,563,586,400.78
  5. Step 5: Solve for x
    x = 290,563,586,400.78/468,077.40
  6. Step 6: Final answer
    x = 620,759.70

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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.