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Finding the Fourth Proportional to 516,902.92, 775,354.65 and 196,980.19

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Solution

The fourth proportional to 516,902.92, 775,354.65 and 196,980.19 is: 295,470.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,902.92 : 775,354.65 = 196,980.19 : x
  2. Step 2: Convert to fraction form
    516,902.92/775,354.65 = 196,980.19/x
  3. Step 3: Cross multiply
    516,902.92x = 775,354.65 × 196,980.19
  4. Step 4: Simplify right side
    516,902.92x = 152,729,503,597.32
  5. Step 5: Solve for x
    x = 152,729,503,597.32/516,902.92
  6. Step 6: Final answer
    x = 295,470.38

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.