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Finding the Fourth Proportional to 316,827.13, 437,221.38 and 189,532.66

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Solution

The fourth proportional to 316,827.13, 437,221.38 and 189,532.66 is: 261,555.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,827.13 : 437,221.38 = 189,532.66 : x
  2. Step 2: Convert to fraction form
    316,827.13/437,221.38 = 189,532.66/x
  3. Step 3: Cross multiply
    316,827.13x = 437,221.38 × 189,532.66
  4. Step 4: Simplify right side
    316,827.13x = 82,867,731,160.27
  5. Step 5: Solve for x
    x = 82,867,731,160.27/316,827.13
  6. Step 6: Final answer
    x = 261,555.04

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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.