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Finding the Fourth Proportional to 474,092.96, 711,032.72 and 137,058.48

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Solution

The fourth proportional to 474,092.96, 711,032.72 and 137,058.48 is: 205,556.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,092.96 : 711,032.72 = 137,058.48 : x
  2. Step 2: Convert to fraction form
    474,092.96/711,032.72 = 137,058.48/x
  3. Step 3: Cross multiply
    474,092.96x = 711,032.72 × 137,058.48
  4. Step 4: Simplify right side
    474,092.96x = 97,453,063,833.47
  5. Step 5: Solve for x
    x = 97,453,063,833.47/474,092.96
  6. Step 6: Final answer
    x = 205,556.87

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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.