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Finding the Fourth Proportional to 342,732.54, 514,187.52 and 200,697.83

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Solution

The fourth proportional to 342,732.54, 514,187.52 and 200,697.83 is: 301,098.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,732.54 : 514,187.52 = 200,697.83 : x
  2. Step 2: Convert to fraction form
    342,732.54/514,187.52 = 200,697.83/x
  3. Step 3: Cross multiply
    342,732.54x = 514,187.52 × 200,697.83
  4. Step 4: Simplify right side
    342,732.54x = 103,196,318,081.73
  5. Step 5: Solve for x
    x = 103,196,318,081.73/342,732.54
  6. Step 6: Final answer
    x = 301,098.68

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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.