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Finding the Fourth Proportional to 576,251.92, 864,513.65 and 197,176.78

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Solution

The fourth proportional to 576,251.92, 864,513.65 and 197,176.78 is: 295,811.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,251.92 : 864,513.65 = 197,176.78 : x
  2. Step 2: Convert to fraction form
    576,251.92/864,513.65 = 197,176.78/x
  3. Step 3: Cross multiply
    576,251.92x = 864,513.65 × 197,176.78
  4. Step 4: Simplify right side
    576,251.92x = 170,462,013,450.48
  5. Step 5: Solve for x
    x = 170,462,013,450.48/576,251.92
  6. Step 6: Final answer
    x = 295,811.62

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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.