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Finding the Fourth Proportional to 463,400.73, 639,438.32 and 267,165.01

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Solution

The fourth proportional to 463,400.73, 639,438.32 and 267,165.01 is: 368,656.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,400.73 : 639,438.32 = 267,165.01 : x
  2. Step 2: Convert to fraction form
    463,400.73/639,438.32 = 267,165.01/x
  3. Step 3: Cross multiply
    463,400.73x = 639,438.32 × 267,165.01
  4. Step 4: Simplify right side
    463,400.73x = 170,835,540,624.17
  5. Step 5: Solve for x
    x = 170,835,540,624.17/463,400.73
  6. Step 6: Final answer
    x = 368,656.18

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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.