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Finding the Fourth Proportional to 343,150.96, 473,565.72 and 197,902.70

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Solution

The fourth proportional to 343,150.96, 473,565.72 and 197,902.70 is: 273,115.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,150.96 : 473,565.72 = 197,902.70 : x
  2. Step 2: Convert to fraction form
    343,150.96/473,565.72 = 197,902.70/x
  3. Step 3: Cross multiply
    343,150.96x = 473,565.72 × 197,902.70
  4. Step 4: Simplify right side
    343,150.96x = 93,719,934,615.44
  5. Step 5: Solve for x
    x = 93,719,934,615.44/343,150.96
  6. Step 6: Final answer
    x = 273,115.76

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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.