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Finding the Fourth Proportional to 564,735.30, 847,207.89 and 185,677.26

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Solution

The fourth proportional to 564,735.30, 847,207.89 and 185,677.26 is: 278,550.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,735.30 : 847,207.89 = 185,677.26 : x
  2. Step 2: Convert to fraction form
    564,735.30/847,207.89 = 185,677.26/x
  3. Step 3: Cross multiply
    564,735.30x = 847,207.89 × 185,677.26
  4. Step 4: Simplify right side
    564,735.30x = 157,307,239,665.58
  5. Step 5: Solve for x
    x = 157,307,239,665.58/564,735.30
  6. Step 6: Final answer
    x = 278,550.39

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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.