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Finding the Fourth Proportional to 342,846.34, 473,129.31 and 199,704.76

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Solution

The fourth proportional to 342,846.34, 473,129.31 and 199,704.76 is: 275,593.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,846.34 : 473,129.31 = 199,704.76 : x
  2. Step 2: Convert to fraction form
    342,846.34/473,129.31 = 199,704.76/x
  3. Step 3: Cross multiply
    342,846.34x = 473,129.31 × 199,704.76
  4. Step 4: Simplify right side
    342,846.34x = 94,486,175,302.52
  5. Step 5: Solve for x
    x = 94,486,175,302.52/342,846.34
  6. Step 6: Final answer
    x = 275,593.36

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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.