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Finding the Fourth Proportional to 477,200.41, 715,275.66 and 196,564.57

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Solution

The fourth proportional to 477,200.41, 715,275.66 and 196,564.57 is: 294,630.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,200.41 : 715,275.66 = 196,564.57 : x
  2. Step 2: Convert to fraction form
    477,200.41/715,275.66 = 196,564.57/x
  3. Step 3: Cross multiply
    477,200.41x = 715,275.66 × 196,564.57
  4. Step 4: Simplify right side
    477,200.41x = 140,597,851,556.54
  5. Step 5: Solve for x
    x = 140,597,851,556.54/477,200.41
  6. Step 6: Final answer
    x = 294,630.62

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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.