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Finding the Fourth Proportional to 408,005.20, 612,007.80 and 296,030.80

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Solution

The fourth proportional to 408,005.20, 612,007.80 and 296,030.80 is: 444,046.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,005.20 : 612,007.80 = 296,030.80 : x
  2. Step 2: Convert to fraction form
    408,005.20/612,007.80 = 296,030.80/x
  3. Step 3: Cross multiply
    408,005.20x = 612,007.80 × 296,030.80
  4. Step 4: Simplify right side
    408,005.20x = 181,173,158,640.24
  5. Step 5: Solve for x
    x = 181,173,158,640.24/408,005.20
  6. Step 6: Final answer
    x = 444,046.20

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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.