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Finding the Fourth Proportional to 262,002.30, 392,566.05 and 224,385.90

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Solution

The fourth proportional to 262,002.30, 392,566.05 and 224,385.90 is: 336,204.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,002.30 : 392,566.05 = 224,385.90 : x
  2. Step 2: Convert to fraction form
    262,002.30/392,566.05 = 224,385.90/x
  3. Step 3: Cross multiply
    262,002.30x = 392,566.05 × 224,385.90
  4. Step 4: Simplify right side
    262,002.30x = 88,086,286,438.70
  5. Step 5: Solve for x
    x = 88,086,286,438.70/262,002.30
  6. Step 6: Final answer
    x = 336,204.25

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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.