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Finding the Fourth Proportional to 362,409.60, 541,864.80 and 267,931.20

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Solution

The fourth proportional to 362,409.60, 541,864.80 and 267,931.20 is: 400,603.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,409.60 : 541,864.80 = 267,931.20 : x
  2. Step 2: Convert to fraction form
    362,409.60/541,864.80 = 267,931.20/x
  3. Step 3: Cross multiply
    362,409.60x = 541,864.80 × 267,931.20
  4. Step 4: Simplify right side
    362,409.60x = 145,182,486,101.76
  5. Step 5: Solve for x
    x = 145,182,486,101.76/362,409.60
  6. Step 6: Final answer
    x = 400,603.31

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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.