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Finding the Fourth Proportional to 564,789.96, 847,005.48 and 185,623.20

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Solution

The fourth proportional to 564,789.96, 847,005.48 and 185,623.20 is: 278,375.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,789.96 : 847,005.48 = 185,623.20 : x
  2. Step 2: Convert to fraction form
    564,789.96/847,005.48 = 185,623.20/x
  3. Step 3: Cross multiply
    564,789.96x = 847,005.48 × 185,623.20
  4. Step 4: Simplify right side
    564,789.96x = 157,223,867,615.14
  5. Step 5: Solve for x
    x = 157,223,867,615.14/564,789.96
  6. Step 6: Final answer
    x = 278,375.82

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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.