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Finding the Fourth Proportional to 317,470.66, 475,843.11 and 130,250.50

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Solution

The fourth proportional to 317,470.66, 475,843.11 and 130,250.50 is: 195,226.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,470.66 : 475,843.11 = 130,250.50 : x
  2. Step 2: Convert to fraction form
    317,470.66/475,843.11 = 130,250.50/x
  3. Step 3: Cross multiply
    317,470.66x = 475,843.11 × 130,250.50
  4. Step 4: Simplify right side
    317,470.66x = 61,978,802,999.06
  5. Step 5: Solve for x
    x = 61,978,802,999.06/317,470.66
  6. Step 6: Final answer
    x = 195,226.87

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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.