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Finding the Fourth Proportional to 534,016, 736,944.24 and 295,552

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Solution

The fourth proportional to 534,016, 736,944.24 and 295,552 is: 407,862.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,016 : 736,944.24 = 295,552 : x
  2. Step 2: Convert to fraction form
    534,016/736,944.24 = 295,552/x
  3. Step 3: Cross multiply
    534,016x = 736,944.24 × 295,552
  4. Step 4: Simplify right side
    534,016x = 217,805,344,020.48
  5. Step 5: Solve for x
    x = 217,805,344,020.48/534,016
  6. Step 6: Final answer
    x = 407,862.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.