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Finding the Fourth Proportional to 498,774.74, 688,304.86 and 272,415.38

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Solution

The fourth proportional to 498,774.74, 688,304.86 and 272,415.38 is: 375,930.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,774.74 : 688,304.86 = 272,415.38 : x
  2. Step 2: Convert to fraction form
    498,774.74/688,304.86 = 272,415.38/x
  3. Step 3: Cross multiply
    498,774.74x = 688,304.86 × 272,415.38
  4. Step 4: Simplify right side
    498,774.74x = 187,504,825,870.18
  5. Step 5: Solve for x
    x = 187,504,825,870.18/498,774.74
  6. Step 6: Final answer
    x = 375,930.88

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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.