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Finding the Fourth Proportional to 534,002, 736,924.92 and 295,538

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Solution

The fourth proportional to 534,002, 736,924.92 and 295,538 is: 407,843.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,002 : 736,924.92 = 295,538 : x
  2. Step 2: Convert to fraction form
    534,002/736,924.92 = 295,538/x
  3. Step 3: Cross multiply
    534,002x = 736,924.92 × 295,538
  4. Step 4: Simplify right side
    534,002x = 217,789,317,006.96
  5. Step 5: Solve for x
    x = 217,789,317,006.96/534,002
  6. Step 6: Final answer
    x = 407,843.64

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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.