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Finding the Fourth Proportional to 656,251.16, 984,480 and 229,917.38

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Solution

The fourth proportional to 656,251.16, 984,480 and 229,917.38 is: 344,912.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,251.16 : 984,480 = 229,917.38 : x
  2. Step 2: Convert to fraction form
    656,251.16/984,480 = 229,917.38/x
  3. Step 3: Cross multiply
    656,251.16x = 984,480 × 229,917.38
  4. Step 4: Simplify right side
    656,251.16x = 226,349,057,340
  5. Step 5: Solve for x
    x = 226,349,057,340/656,251.16
  6. Step 6: Final answer
    x = 344,912.24

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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.