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Finding the Fourth Proportional to 273,761.14, 410,641.54 and 199,354.62

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Solution

The fourth proportional to 273,761.14, 410,641.54 and 199,354.62 is: 299,031.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,761.14 : 410,641.54 = 199,354.62 : x
  2. Step 2: Convert to fraction form
    273,761.14/410,641.54 = 199,354.62/x
  3. Step 3: Cross multiply
    273,761.14x = 410,641.54 × 199,354.62
  4. Step 4: Simplify right side
    273,761.14x = 81,863,287,875.77
  5. Step 5: Solve for x
    x = 81,863,287,875.77/273,761.14
  6. Step 6: Final answer
    x = 299,031.80

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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.