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Finding the Fourth Proportional to 315,734.68, 435,713.34 and 172,494.69

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Solution

The fourth proportional to 315,734.68, 435,713.34 and 172,494.69 is: 238,042.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,734.68 : 435,713.34 = 172,494.69 : x
  2. Step 2: Convert to fraction form
    315,734.68/435,713.34 = 172,494.69/x
  3. Step 3: Cross multiply
    315,734.68x = 435,713.34 × 172,494.69
  4. Step 4: Simplify right side
    315,734.68x = 75,158,237,512.16
  5. Step 5: Solve for x
    x = 75,158,237,512.16/315,734.68
  6. Step 6: Final answer
    x = 238,042.39

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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.