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Finding the Fourth Proportional to 513,916.88, 709,196.72 and 284,469.26

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Solution

The fourth proportional to 513,916.88, 709,196.72 and 284,469.26 is: 392,562.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,916.88 : 709,196.72 = 284,469.26 : x
  2. Step 2: Convert to fraction form
    513,916.88/709,196.72 = 284,469.26/x
  3. Step 3: Cross multiply
    513,916.88x = 709,196.72 × 284,469.26
  4. Step 4: Simplify right side
    513,916.88x = 201,744,666,132.83
  5. Step 5: Solve for x
    x = 201,744,666,132.83/513,916.88
  6. Step 6: Final answer
    x = 392,562.83

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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.