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Finding the Fourth Proportional to 498,864.47, 688,418.53 and 272,509.97

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Solution

The fourth proportional to 498,864.47, 688,418.53 and 272,509.97 is: 376,055.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,864.47 : 688,418.53 = 272,509.97 : x
  2. Step 2: Convert to fraction form
    498,864.47/688,418.53 = 272,509.97/x
  3. Step 3: Cross multiply
    498,864.47x = 688,418.53 × 272,509.97
  4. Step 4: Simplify right side
    498,864.47x = 187,600,908,834.38
  5. Step 5: Solve for x
    x = 187,600,908,834.38/498,864.47
  6. Step 6: Final answer
    x = 376,055.87

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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.