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Finding the Fourth Proportional to 513,773.12, 709,008.25 and 284,346.23

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Solution

The fourth proportional to 513,773.12, 709,008.25 and 284,346.23 is: 392,398.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,773.12 : 709,008.25 = 284,346.23 : x
  2. Step 2: Convert to fraction form
    513,773.12/709,008.25 = 284,346.23/x
  3. Step 3: Cross multiply
    513,773.12x = 709,008.25 × 284,346.23
  4. Step 4: Simplify right side
    513,773.12x = 201,603,821,332.75
  5. Step 5: Solve for x
    x = 201,603,821,332.75/513,773.12
  6. Step 6: Final answer
    x = 392,398.54

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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.