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Finding the Fourth Proportional to 564,815.46, 847,043.73 and 185,648.70

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Solution

The fourth proportional to 564,815.46, 847,043.73 and 185,648.70 is: 278,414.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,815.46 : 847,043.73 = 185,648.70 : x
  2. Step 2: Convert to fraction form
    564,815.46/847,043.73 = 185,648.70/x
  3. Step 3: Cross multiply
    564,815.46x = 847,043.73 × 185,648.70
  4. Step 4: Simplify right side
    564,815.46x = 157,252,567,317.65
  5. Step 5: Solve for x
    x = 157,252,567,317.65/564,815.46
  6. Step 6: Final answer
    x = 278,414.06

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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.