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Finding the Fourth Proportional to 576,253.92, 864,516.65 and 197,178.78

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Solution

The fourth proportional to 576,253.92, 864,516.65 and 197,178.78 is: 295,814.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,253.92 : 864,516.65 = 197,178.78 : x
  2. Step 2: Convert to fraction form
    576,253.92/864,516.65 = 197,178.78/x
  3. Step 3: Cross multiply
    576,253.92x = 864,516.65 × 197,178.78
  4. Step 4: Simplify right side
    576,253.92x = 170,464,338,336.69
  5. Step 5: Solve for x
    x = 170,464,338,336.69/576,253.92
  6. Step 6: Final answer
    x = 295,814.63

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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.