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Finding the Fourth Proportional to 342,903.70, 514,687.71 and 165,535.27

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Solution

The fourth proportional to 342,903.70, 514,687.71 and 165,535.27 is: 248,463.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,903.70 : 514,687.71 = 165,535.27 : x
  2. Step 2: Convert to fraction form
    342,903.70/514,687.71 = 165,535.27/x
  3. Step 3: Cross multiply
    342,903.70x = 514,687.71 × 165,535.27
  4. Step 4: Simplify right side
    342,903.70x = 85,198,967,339.97
  5. Step 5: Solve for x
    x = 85,198,967,339.97/342,903.70
  6. Step 6: Final answer
    x = 248,463.25

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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.