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Finding the Fourth Proportional to 284,296.04, 392,325.84 and 156,972.52

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Solution

The fourth proportional to 284,296.04, 392,325.84 and 156,972.52 is: 216,620.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,296.04 : 392,325.84 = 156,972.52 : x
  2. Step 2: Convert to fraction form
    284,296.04/392,325.84 = 156,972.52/x
  3. Step 3: Cross multiply
    284,296.04x = 392,325.84 × 156,972.52
  4. Step 4: Simplify right side
    284,296.04x = 61,584,375,765.92
  5. Step 5: Solve for x
    x = 61,584,375,765.92/284,296.04
  6. Step 6: Final answer
    x = 216,620.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.