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Finding the Fourth Proportional to 514,404.46, 771,324.81 and 159,319.90

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Solution

The fourth proportional to 514,404.46, 771,324.81 and 159,319.90 is: 238,892.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,404.46 : 771,324.81 = 159,319.90 : x
  2. Step 2: Convert to fraction form
    514,404.46/771,324.81 = 159,319.90/x
  3. Step 3: Cross multiply
    514,404.46x = 771,324.81 × 159,319.90
  4. Step 4: Simplify right side
    514,404.46x = 122,887,391,596.72
  5. Step 5: Solve for x
    x = 122,887,391,596.72/514,404.46
  6. Step 6: Final answer
    x = 238,892.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.