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Finding the Fourth Proportional to 408,432.36, 612,194.53 and 308,267.76

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Solution

The fourth proportional to 408,432.36, 612,194.53 and 308,267.76 is: 462,058.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,432.36 : 612,194.53 = 308,267.76 : x
  2. Step 2: Convert to fraction form
    408,432.36/612,194.53 = 308,267.76/x
  3. Step 3: Cross multiply
    408,432.36x = 612,194.53 × 308,267.76
  4. Step 4: Simplify right side
    408,432.36x = 188,719,832,615.71
  5. Step 5: Solve for x
    x = 188,719,832,615.71/408,432.36
  6. Step 6: Final answer
    x = 462,058.97

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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.