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Finding the Fourth Proportional to 410,702.97, 566,758.16 and 226,938.62

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Solution

The fourth proportional to 410,702.97, 566,758.16 and 226,938.62 is: 313,168.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,702.97 : 566,758.16 = 226,938.62 : x
  2. Step 2: Convert to fraction form
    410,702.97/566,758.16 = 226,938.62/x
  3. Step 3: Cross multiply
    410,702.97x = 566,758.16 × 226,938.62
  4. Step 4: Simplify right side
    410,702.97x = 128,619,314,704.14
  5. Step 5: Solve for x
    x = 128,619,314,704.14/410,702.97
  6. Step 6: Final answer
    x = 313,168.70

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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.