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Finding the Fourth Proportional to 497,718.60, 748,421.10 and 416,617.80

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Solution

The fourth proportional to 497,718.60, 748,421.10 and 416,617.80 is: 626,469.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,718.60 : 748,421.10 = 416,617.80 : x
  2. Step 2: Convert to fraction form
    497,718.60/748,421.10 = 416,617.80/x
  3. Step 3: Cross multiply
    497,718.60x = 748,421.10 × 416,617.80
  4. Step 4: Simplify right side
    497,718.60x = 311,805,552,155.58
  5. Step 5: Solve for x
    x = 311,805,552,155.58/497,718.60
  6. Step 6: Final answer
    x = 626,469.56

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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.