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Finding the Fourth Proportional to 408,498.30, 613,246.65 and 231,128.70

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Solution

The fourth proportional to 408,498.30, 613,246.65 and 231,128.70 is: 346,975.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,498.30 : 613,246.65 = 231,128.70 : x
  2. Step 2: Convert to fraction form
    408,498.30/613,246.65 = 231,128.70/x
  3. Step 3: Cross multiply
    408,498.30x = 613,246.65 × 231,128.70
  4. Step 4: Simplify right side
    408,498.30x = 141,738,900,993.86
  5. Step 5: Solve for x
    x = 141,738,900,993.86/408,498.30
  6. Step 6: Final answer
    x = 346,975.50

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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.