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Finding the Fourth Proportional to 316,259.72, 474,545.40 and 147,791.68

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Solution

The fourth proportional to 316,259.72, 474,545.40 and 147,791.68 is: 221,760.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,259.72 : 474,545.40 = 147,791.68 : x
  2. Step 2: Convert to fraction form
    316,259.72/474,545.40 = 147,791.68/x
  3. Step 3: Cross multiply
    316,259.72x = 474,545.40 × 147,791.68
  4. Step 4: Simplify right side
    316,259.72x = 70,133,861,902.27
  5. Step 5: Solve for x
    x = 70,133,861,902.27/316,259.72
  6. Step 6: Final answer
    x = 221,760.34

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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.