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Finding the Fourth Proportional to 564,939.69, 847,294.71 and 165,473.20

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Solution

The fourth proportional to 564,939.69, 847,294.71 and 165,473.20 is: 248,176.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,939.69 : 847,294.71 = 165,473.20 : x
  2. Step 2: Convert to fraction form
    564,939.69/847,294.71 = 165,473.20/x
  3. Step 3: Cross multiply
    564,939.69x = 847,294.71 × 165,473.20
  4. Step 4: Simplify right side
    564,939.69x = 140,204,567,006.77
  5. Step 5: Solve for x
    x = 140,204,567,006.77/564,939.69
  6. Step 6: Final answer
    x = 248,176.17

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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.