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Finding the Fourth Proportional to 408,035.40, 612,053.10 and 219,078.60

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Solution

The fourth proportional to 408,035.40, 612,053.10 and 219,078.60 is: 328,617.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,035.40 : 612,053.10 = 219,078.60 : x
  2. Step 2: Convert to fraction form
    408,035.40/612,053.10 = 219,078.60/x
  3. Step 3: Cross multiply
    408,035.40x = 612,053.10 × 219,078.60
  4. Step 4: Simplify right side
    408,035.40x = 134,087,736,273.66
  5. Step 5: Solve for x
    x = 134,087,736,273.66/408,035.40
  6. Step 6: Final answer
    x = 328,617.90

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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.