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Finding the Fourth Proportional to 313,540.52, 432,687.15 and 170,302.95

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Solution

The fourth proportional to 313,540.52, 432,687.15 and 170,302.95 is: 235,018.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,540.52 : 432,687.15 = 170,302.95 : x
  2. Step 2: Convert to fraction form
    313,540.52/432,687.15 = 170,302.95/x
  3. Step 3: Cross multiply
    313,540.52x = 432,687.15 × 170,302.95
  4. Step 4: Simplify right side
    313,540.52x = 73,687,898,072.09
  5. Step 5: Solve for x
    x = 73,687,898,072.09/313,540.52
  6. Step 6: Final answer
    x = 235,018.74

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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.