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Finding the Fourth Proportional to 342,994.50, 473,346.99 and 199,731.42

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Solution

The fourth proportional to 342,994.50, 473,346.99 and 199,731.42 is: 275,637.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,994.50 : 473,346.99 = 199,731.42 : x
  2. Step 2: Convert to fraction form
    342,994.50/473,346.99 = 199,731.42/x
  3. Step 3: Cross multiply
    342,994.50x = 473,346.99 × 199,731.42
  4. Step 4: Simplify right side
    342,994.50x = 94,542,266,465.43
  5. Step 5: Solve for x
    x = 94,542,266,465.43/342,994.50
  6. Step 6: Final answer
    x = 275,637.85

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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.