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Finding the Fourth Proportional to 342,004.80, 513,007.20 and 332,163.30

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Solution

The fourth proportional to 342,004.80, 513,007.20 and 332,163.30 is: 498,244.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,004.80 : 513,007.20 = 332,163.30 : x
  2. Step 2: Convert to fraction form
    342,004.80/513,007.20 = 332,163.30/x
  3. Step 3: Cross multiply
    342,004.80x = 513,007.20 × 332,163.30
  4. Step 4: Simplify right side
    342,004.80x = 170,402,164,475.76
  5. Step 5: Solve for x
    x = 170,402,164,475.76/342,004.80
  6. Step 6: Final answer
    x = 498,244.95

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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.