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Finding the Fourth Proportional to 474,548.10, 711,614.76 and 142,046.34

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Solution

The fourth proportional to 474,548.10, 711,614.76 and 142,046.34 is: 213,007.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,548.10 : 711,614.76 = 142,046.34 : x
  2. Step 2: Convert to fraction form
    474,548.10/711,614.76 = 142,046.34/x
  3. Step 3: Cross multiply
    474,548.10x = 711,614.76 × 142,046.34
  4. Step 4: Simplify right side
    474,548.10x = 101,082,272,147.98
  5. Step 5: Solve for x
    x = 101,082,272,147.98/474,548.10
  6. Step 6: Final answer
    x = 213,007.43

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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.