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Finding the Fourth Proportional to 820,458.92, 1,132,347.43 and 457,906.13

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Solution

The fourth proportional to 820,458.92, 1,132,347.43 and 457,906.13 is: 631,974.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,458.92 : 1,132,347.43 = 457,906.13 : x
  2. Step 2: Convert to fraction form
    820,458.92/1,132,347.43 = 457,906.13/x
  3. Step 3: Cross multiply
    820,458.92x = 1,132,347.43 × 457,906.13
  4. Step 4: Simplify right side
    820,458.92x = 518,508,829,486.75
  5. Step 5: Solve for x
    x = 518,508,829,486.75/820,458.92
  6. Step 6: Final answer
    x = 631,974.15

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