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Finding the Fourth Proportional to 498,098.88, 687,523.68 and 347,244.48

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Solution

The fourth proportional to 498,098.88, 687,523.68 and 347,244.48 is: 479,300.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,098.88 : 687,523.68 = 347,244.48 : x
  2. Step 2: Convert to fraction form
    498,098.88/687,523.68 = 347,244.48/x
  3. Step 3: Cross multiply
    498,098.88x = 687,523.68 × 347,244.48
  4. Step 4: Simplify right side
    498,098.88x = 238,738,802,749.29
  5. Step 5: Solve for x
    x = 238,738,802,749.29/498,098.88
  6. Step 6: Final answer
    x = 479,300.02

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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.