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Finding the Fourth Proportional to 514,148.56, 709,524.56 and 284,705.83

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Solution

The fourth proportional to 514,148.56, 709,524.56 and 284,705.83 is: 392,893.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,148.56 : 709,524.56 = 284,705.83 : x
  2. Step 2: Convert to fraction form
    514,148.56/709,524.56 = 284,705.83/x
  3. Step 3: Cross multiply
    514,148.56x = 709,524.56 × 284,705.83
  4. Step 4: Simplify right side
    514,148.56x = 202,005,780,358.86
  5. Step 5: Solve for x
    x = 202,005,780,358.86/514,148.56
  6. Step 6: Final answer
    x = 392,893.80

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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.