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Finding the Fourth Proportional to 477,086.90, 715,358.19 and 196,269.62

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Solution

The fourth proportional to 477,086.90, 715,358.19 and 196,269.62 is: 294,292.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,086.90 : 715,358.19 = 196,269.62 : x
  2. Step 2: Convert to fraction form
    477,086.90/715,358.19 = 196,269.62/x
  3. Step 3: Cross multiply
    477,086.90x = 715,358.19 × 196,269.62
  4. Step 4: Simplify right side
    477,086.90x = 140,403,080,115.19
  5. Step 5: Solve for x
    x = 140,403,080,115.19/477,086.90
  6. Step 6: Final answer
    x = 294,292.47

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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.