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Finding the Fourth Proportional to 406,825.64, 610,279.46 and 107,326.92

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Solution

The fourth proportional to 406,825.64, 610,279.46 and 107,326.92 is: 161,001.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,825.64 : 610,279.46 = 107,326.92 : x
  2. Step 2: Convert to fraction form
    406,825.64/610,279.46 = 107,326.92/x
  3. Step 3: Cross multiply
    406,825.64x = 610,279.46 × 107,326.92
  4. Step 4: Simplify right side
    406,825.64x = 65,499,414,781.06
  5. Step 5: Solve for x
    x = 65,499,414,781.06/406,825.64
  6. Step 6: Final answer
    x = 161,001.20

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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.