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Finding the Fourth Proportional to 460,642.65, 635,689.38 and 267,165.03

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Solution

The fourth proportional to 460,642.65, 635,689.38 and 267,165.03 is: 368,689.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,642.65 : 635,689.38 = 267,165.03 : x
  2. Step 2: Convert to fraction form
    460,642.65/635,689.38 = 267,165.03/x
  3. Step 3: Cross multiply
    460,642.65x = 635,689.38 × 267,165.03
  4. Step 4: Simplify right side
    460,642.65x = 169,833,972,278.38
  5. Step 5: Solve for x
    x = 169,833,972,278.38/460,642.65
  6. Step 6: Final answer
    x = 368,689.20

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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.