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Finding the Fourth Proportional to 463,144.61, 638,936.70 and 272,071.82

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Solution

The fourth proportional to 463,144.61, 638,936.70 and 272,071.82 is: 375,339.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,144.61 : 638,936.70 = 272,071.82 : x
  2. Step 2: Convert to fraction form
    463,144.61/638,936.70 = 272,071.82/x
  3. Step 3: Cross multiply
    463,144.61x = 638,936.70 × 272,071.82
  4. Step 4: Simplify right side
    463,144.61x = 173,836,670,833.79
  5. Step 5: Solve for x
    x = 173,836,670,833.79/463,144.61
  6. Step 6: Final answer
    x = 375,339.94

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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.