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Finding the Fourth Proportional to 361,920.20, 542,880.30 and 272,107.40

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Solution

The fourth proportional to 361,920.20, 542,880.30 and 272,107.40 is: 408,161.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,920.20 : 542,880.30 = 272,107.40 : x
  2. Step 2: Convert to fraction form
    361,920.20/542,880.30 = 272,107.40/x
  3. Step 3: Cross multiply
    361,920.20x = 542,880.30 × 272,107.40
  4. Step 4: Simplify right side
    361,920.20x = 147,721,746,944.22
  5. Step 5: Solve for x
    x = 147,721,746,944.22/361,920.20
  6. Step 6: Final answer
    x = 408,161.10

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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.