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Finding the Fourth Proportional to 564,763.36, 847,249.76 and 185,705.28

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Solution

The fourth proportional to 564,763.36, 847,249.76 and 185,705.28 is: 278,592.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,763.36 : 847,249.76 = 185,705.28 : x
  2. Step 2: Convert to fraction form
    564,763.36/847,249.76 = 185,705.28/x
  3. Step 3: Cross multiply
    564,763.36x = 847,249.76 × 185,705.28
  4. Step 4: Simplify right side
    564,763.36x = 157,338,753,910.73
  5. Step 5: Solve for x
    x = 157,338,753,910.73/564,763.36
  6. Step 6: Final answer
    x = 278,592.35

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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.