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Finding the Fourth Proportional to 762,577.27, 1,052,375.99 and 418,413.11

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Solution

The fourth proportional to 762,577.27, 1,052,375.99 and 418,413.11 is: 577,420.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,577.27 : 1,052,375.99 = 418,413.11 : x
  2. Step 2: Convert to fraction form
    762,577.27/1,052,375.99 = 418,413.11/x
  3. Step 3: Cross multiply
    762,577.27x = 1,052,375.99 × 418,413.11
  4. Step 4: Simplify right side
    762,577.27x = 440,327,906,649.38
  5. Step 5: Solve for x
    x = 440,327,906,649.38/762,577.27
  6. Step 6: Final answer
    x = 577,420.71

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Why These Related Problems?

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