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Finding the Fourth Proportional to 463,143.61, 638,935.32 and 272,070.82

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Solution

The fourth proportional to 463,143.61, 638,935.32 and 272,070.82 is: 375,338.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,143.61 : 638,935.32 = 272,070.82 : x
  2. Step 2: Convert to fraction form
    463,143.61/638,935.32 = 272,070.82/x
  3. Step 3: Cross multiply
    463,143.61x = 638,935.32 × 272,070.82
  4. Step 4: Simplify right side
    463,143.61x = 173,835,656,439.36
  5. Step 5: Solve for x
    x = 173,835,656,439.36/463,143.61
  6. Step 6: Final answer
    x = 375,338.56

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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.