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Finding the Fourth Proportional to 475,385.28, 713,083.68 and 159,840.96

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Solution

The fourth proportional to 475,385.28, 713,083.68 and 159,840.96 is: 239,763.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,385.28 : 713,083.68 = 159,840.96 : x
  2. Step 2: Convert to fraction form
    475,385.28/713,083.68 = 159,840.96/x
  3. Step 3: Cross multiply
    475,385.28x = 713,083.68 × 159,840.96
  4. Step 4: Simplify right side
    475,385.28x = 113,979,979,971.53
  5. Step 5: Solve for x
    x = 113,979,979,971.53/475,385.28
  6. Step 6: Final answer
    x = 239,763.38

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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.