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Finding the Fourth Proportional to 497,273.13, 746,431.47 and 440,708.92

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Solution

The fourth proportional to 497,273.13, 746,431.47 and 440,708.92 is: 661,525.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,273.13 : 746,431.47 = 440,708.92 : x
  2. Step 2: Convert to fraction form
    497,273.13/746,431.47 = 440,708.92/x
  3. Step 3: Cross multiply
    497,273.13x = 746,431.47 × 440,708.92
  4. Step 4: Simplify right side
    497,273.13x = 328,959,006,997.71
  5. Step 5: Solve for x
    x = 328,959,006,997.71/497,273.13
  6. Step 6: Final answer
    x = 661,525.80

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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.