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Finding the Fourth Proportional to 513,796.68, 709,024.82 and 284,363.58

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Solution

The fourth proportional to 513,796.68, 709,024.82 and 284,363.58 is: 392,413.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,796.68 : 709,024.82 = 284,363.58 : x
  2. Step 2: Convert to fraction form
    513,796.68/709,024.82 = 284,363.58/x
  3. Step 3: Cross multiply
    513,796.68x = 709,024.82 × 284,363.58
  4. Step 4: Simplify right side
    513,796.68x = 201,620,836,124.06
  5. Step 5: Solve for x
    x = 201,620,836,124.06/513,796.68
  6. Step 6: Final answer
    x = 392,413.66

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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.