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Finding the Fourth Proportional to 498,049.64, 687,307.04 and 271,693.52

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Solution

The fourth proportional to 498,049.64, 687,307.04 and 271,693.52 is: 374,936.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,049.64 : 687,307.04 = 271,693.52 : x
  2. Step 2: Convert to fraction form
    498,049.64/687,307.04 = 271,693.52/x
  3. Step 3: Cross multiply
    498,049.64x = 687,307.04 × 271,693.52
  4. Step 4: Simplify right side
    498,049.64x = 186,736,869,018.38
  5. Step 5: Solve for x
    x = 186,736,869,018.38/498,049.64
  6. Step 6: Final answer
    x = 374,936.26

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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.