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Finding the Fourth Proportional to 475,230.65, 712,856.90 and 159,690.29

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Solution

The fourth proportional to 475,230.65, 712,856.90 and 159,690.29 is: 239,539.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,230.65 : 712,856.90 = 159,690.29 : x
  2. Step 2: Convert to fraction form
    475,230.65/712,856.90 = 159,690.29/x
  3. Step 3: Cross multiply
    475,230.65x = 712,856.90 × 159,690.29
  4. Step 4: Simplify right side
    475,230.65x = 113,836,321,924.44
  5. Step 5: Solve for x
    x = 113,836,321,924.44/475,230.65
  6. Step 6: Final answer
    x = 239,539.10

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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.