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Finding the Fourth Proportional to 463,151.64, 638,946.36 and 272,078.82

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Solution

The fourth proportional to 463,151.64, 638,946.36 and 272,078.82 is: 375,349.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,151.64 : 638,946.36 = 272,078.82 : x
  2. Step 2: Convert to fraction form
    463,151.64/638,946.36 = 272,078.82/x
  3. Step 3: Cross multiply
    463,151.64x = 638,946.36 × 272,078.82
  4. Step 4: Simplify right side
    463,151.64x = 173,843,771,672.10
  5. Step 5: Solve for x
    x = 173,843,771,672.10/463,151.64
  6. Step 6: Final answer
    x = 375,349.58

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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.