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Finding the Fourth Proportional to 361,060.98, 498,223.92 and 199,875.66

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Solution

The fourth proportional to 361,060.98, 498,223.92 and 199,875.66 is: 275,806.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,060.98 : 498,223.92 = 199,875.66 : x
  2. Step 2: Convert to fraction form
    361,060.98/498,223.92 = 199,875.66/x
  3. Step 3: Cross multiply
    361,060.98x = 498,223.92 × 199,875.66
  4. Step 4: Simplify right side
    361,060.98x = 99,582,834,837.79
  5. Step 5: Solve for x
    x = 99,582,834,837.79/361,060.98
  6. Step 6: Final answer
    x = 275,806.14

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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.