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Finding the Fourth Proportional to 273,502.74, 410,044.97 and 225,968.30

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Solution

The fourth proportional to 273,502.74, 410,044.97 and 225,968.30 is: 338,779.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,502.74 : 410,044.97 = 225,968.30 : x
  2. Step 2: Convert to fraction form
    273,502.74/410,044.97 = 225,968.30/x
  3. Step 3: Cross multiply
    273,502.74x = 410,044.97 × 225,968.30
  4. Step 4: Simplify right side
    273,502.74x = 92,657,162,639.50
  5. Step 5: Solve for x
    x = 92,657,162,639.50/273,502.74
  6. Step 6: Final answer
    x = 338,779.65

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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.