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Finding the Fourth Proportional to 524,351.92, 723,667.08 and 298,031.44

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Solution

The fourth proportional to 524,351.92, 723,667.08 and 298,031.44 is: 411,318.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,351.92 : 723,667.08 = 298,031.44 : x
  2. Step 2: Convert to fraction form
    524,351.92/723,667.08 = 298,031.44/x
  3. Step 3: Cross multiply
    524,351.92x = 723,667.08 × 298,031.44
  4. Step 4: Simplify right side
    524,351.92x = 215,675,541,933.00
  5. Step 5: Solve for x
    x = 215,675,541,933.00/524,351.92
  6. Step 6: Final answer
    x = 411,318.30

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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.