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Finding the Fourth Proportional to 342,862.14, 514,487.64 and 185,087.10

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Solution

The fourth proportional to 342,862.14, 514,487.64 and 185,087.10 is: 277,735.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,862.14 : 514,487.64 = 185,087.10 : x
  2. Step 2: Convert to fraction form
    342,862.14/514,487.64 = 185,087.10/x
  3. Step 3: Cross multiply
    342,862.14x = 514,487.64 × 185,087.10
  4. Step 4: Simplify right side
    342,862.14x = 95,225,025,273.44
  5. Step 5: Solve for x
    x = 95,225,025,273.44/342,862.14
  6. Step 6: Final answer
    x = 277,735.61

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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.