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Finding the Fourth Proportional to 360,175.92, 497,072.70 and 199,062.42

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Solution

The fourth proportional to 360,175.92, 497,072.70 and 199,062.42 is: 274,722.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,175.92 : 497,072.70 = 199,062.42 : x
  2. Step 2: Convert to fraction form
    360,175.92/497,072.70 = 199,062.42/x
  3. Step 3: Cross multiply
    360,175.92x = 497,072.70 × 199,062.42
  4. Step 4: Simplify right side
    360,175.92x = 98,948,494,577.93
  5. Step 5: Solve for x
    x = 98,948,494,577.93/360,175.92
  6. Step 6: Final answer
    x = 274,722.68

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1.5x scale

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.