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Finding the Fourth Proportional to 424,095.66, 636,143.76 and 199,291.14

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Solution

The fourth proportional to 424,095.66, 636,143.76 and 199,291.14 is: 298,936.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,095.66 : 636,143.76 = 199,291.14 : x
  2. Step 2: Convert to fraction form
    424,095.66/636,143.76 = 199,291.14/x
  3. Step 3: Cross multiply
    424,095.66x = 636,143.76 × 199,291.14
  4. Step 4: Simplify right side
    424,095.66x = 126,777,815,134.29
  5. Step 5: Solve for x
    x = 126,777,815,134.29/424,095.66
  6. Step 6: Final answer
    x = 298,936.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.