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Finding the Fourth Proportional to 428,830.44, 591,398.76 and 267,700.44

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Solution

The fourth proportional to 428,830.44, 591,398.76 and 267,700.44 is: 369,184.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,830.44 : 591,398.76 = 267,700.44 : x
  2. Step 2: Convert to fraction form
    428,830.44/591,398.76 = 267,700.44/x
  3. Step 3: Cross multiply
    428,830.44x = 591,398.76 × 267,700.44
  4. Step 4: Simplify right side
    428,830.44x = 158,317,708,267.45
  5. Step 5: Solve for x
    x = 158,317,708,267.45/428,830.44
  6. Step 6: Final answer
    x = 369,184.87

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Why These Related Problems?

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