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Finding the Fourth Proportional to 468,597.16, 646,675.14 and 267,411.88

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Solution

The fourth proportional to 468,597.16, 646,675.14 and 267,411.88 is: 369,034.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,597.16 : 646,675.14 = 267,411.88 : x
  2. Step 2: Convert to fraction form
    468,597.16/646,675.14 = 267,411.88/x
  3. Step 3: Cross multiply
    468,597.16x = 646,675.14 × 267,411.88
  4. Step 4: Simplify right side
    468,597.16x = 172,928,614,936.66
  5. Step 5: Solve for x
    x = 172,928,614,936.66/468,597.16
  6. Step 6: Final answer
    x = 369,034.71

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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.