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Finding the Fourth Proportional to 493,966.16, 681,674 and 267,611.66

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Solution

The fourth proportional to 493,966.16, 681,674 and 267,611.66 is: 369,304.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,966.16 : 681,674 = 267,611.66 : x
  2. Step 2: Convert to fraction form
    493,966.16/681,674 = 267,611.66/x
  3. Step 3: Cross multiply
    493,966.16x = 681,674 × 267,611.66
  4. Step 4: Simplify right side
    493,966.16x = 182,423,910,718.84
  5. Step 5: Solve for x
    x = 182,423,910,718.84/493,966.16
  6. Step 6: Final answer
    x = 369,304.47

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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.