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Finding the Fourth Proportional to 413,418.40, 619,690.20 and 160,601.20

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Solution

The fourth proportional to 413,418.40, 619,690.20 and 160,601.20 is: 240,731.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,418.40 : 619,690.20 = 160,601.20 : x
  2. Step 2: Convert to fraction form
    413,418.40/619,690.20 = 160,601.20/x
  3. Step 3: Cross multiply
    413,418.40x = 619,690.20 × 160,601.20
  4. Step 4: Simplify right side
    413,418.40x = 99,522,989,748.24
  5. Step 5: Solve for x
    x = 99,522,989,748.24/413,418.40
  6. Step 6: Final answer
    x = 240,731.88

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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.