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Finding the Fourth Proportional to 498,101.04, 687,276.72 and 316,747.44

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Solution

The fourth proportional to 498,101.04, 687,276.72 and 316,747.44 is: 437,046.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,101.04 : 687,276.72 = 316,747.44 : x
  2. Step 2: Convert to fraction form
    498,101.04/687,276.72 = 316,747.44/x
  3. Step 3: Cross multiply
    498,101.04x = 687,276.72 × 316,747.44
  4. Step 4: Simplify right side
    498,101.04x = 217,693,141,631.60
  5. Step 5: Solve for x
    x = 217,693,141,631.60/498,101.04
  6. Step 6: Final answer
    x = 437,046.15

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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.