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Finding the Fourth Proportional to 321,781, 482,706.06 and 144,367.24

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Solution

The fourth proportional to 321,781, 482,706.06 and 144,367.24 is: 216,566.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,781 : 482,706.06 = 144,367.24 : x
  2. Step 2: Convert to fraction form
    321,781/482,706.06 = 144,367.24/x
  3. Step 3: Cross multiply
    321,781x = 482,706.06 × 144,367.24
  4. Step 4: Simplify right side
    321,781x = 69,686,941,613.47
  5. Step 5: Solve for x
    x = 69,686,941,613.47/321,781
  6. Step 6: Final answer
    x = 216,566.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.