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Finding the Fourth Proportional to 417,686.14, 576,269.67 and 236,380.06

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Solution

The fourth proportional to 417,686.14, 576,269.67 and 236,380.06 is: 326,126.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,686.14 : 576,269.67 = 236,380.06 : x
  2. Step 2: Convert to fraction form
    417,686.14/576,269.67 = 236,380.06/x
  3. Step 3: Cross multiply
    417,686.14x = 576,269.67 × 236,380.06
  4. Step 4: Simplify right side
    417,686.14x = 136,218,659,170.78
  5. Step 5: Solve for x
    x = 136,218,659,170.78/417,686.14
  6. Step 6: Final answer
    x = 326,126.84

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