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Finding the Fourth Proportional to 413,066.20, 619,599.30 and 397,319.80

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Solution

The fourth proportional to 413,066.20, 619,599.30 and 397,319.80 is: 595,979.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,066.20 : 619,599.30 = 397,319.80 : x
  2. Step 2: Convert to fraction form
    413,066.20/619,599.30 = 397,319.80/x
  3. Step 3: Cross multiply
    413,066.20x = 619,599.30 × 397,319.80
  4. Step 4: Simplify right side
    413,066.20x = 246,179,069,956.14
  5. Step 5: Solve for x
    x = 246,179,069,956.14/413,066.20
  6. Step 6: Final answer
    x = 595,979.70

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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.