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Finding the Fourth Proportional to 482,107.77, 722,651.80 and 178,306.69

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Solution

The fourth proportional to 482,107.77, 722,651.80 and 178,306.69 is: 267,271.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,107.77 : 722,651.80 = 178,306.69 : x
  2. Step 2: Convert to fraction form
    482,107.77/722,651.80 = 178,306.69/x
  3. Step 3: Cross multiply
    482,107.77x = 722,651.80 × 178,306.69
  4. Step 4: Simplify right side
    482,107.77x = 128,853,651,507.08
  5. Step 5: Solve for x
    x = 128,853,651,507.08/482,107.77
  6. Step 6: Final answer
    x = 267,271.47

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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.