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Finding the Fourth Proportional to 513,864.00, 709,114.22 and 284,421.72

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Solution

The fourth proportional to 513,864.00, 709,114.22 and 284,421.72 is: 392,491.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,864.00 : 709,114.22 = 284,421.72 : x
  2. Step 2: Convert to fraction form
    513,864.00/709,114.22 = 284,421.72/x
  3. Step 3: Cross multiply
    513,864.00x = 709,114.22 × 284,421.72
  4. Step 4: Simplify right side
    513,864.00x = 201,687,487,901.64
  5. Step 5: Solve for x
    x = 201,687,487,901.64/513,864.00
  6. Step 6: Final answer
    x = 392,491.96

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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.