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Finding the Fourth Proportional to 474,545.10, 711,610.29 and 142,043.34

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Solution

The fourth proportional to 474,545.10, 711,610.29 and 142,043.34 is: 213,002.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,545.10 : 711,610.29 = 142,043.34 : x
  2. Step 2: Convert to fraction form
    474,545.10/711,610.29 = 142,043.34/x
  3. Step 3: Cross multiply
    474,545.10x = 711,610.29 × 142,043.34
  4. Step 4: Simplify right side
    474,545.10x = 101,079,502,369.97
  5. Step 5: Solve for x
    x = 101,079,502,369.97/474,545.10
  6. Step 6: Final answer
    x = 213,002.94

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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.