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Finding the Fourth Proportional to 313,505.34, 432,640.56 and 170,268.18

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Solution

The fourth proportional to 313,505.34, 432,640.56 and 170,268.18 is: 234,971.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,505.34 : 432,640.56 = 170,268.18 : x
  2. Step 2: Convert to fraction form
    313,505.34/432,640.56 = 170,268.18/x
  3. Step 3: Cross multiply
    313,505.34x = 432,640.56 × 170,268.18
  4. Step 4: Simplify right side
    313,505.34x = 73,664,920,745.38
  5. Step 5: Solve for x
    x = 73,664,920,745.38/313,505.34
  6. Step 6: Final answer
    x = 234,971.82

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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.