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Finding the Fourth Proportional to 408,045.70, 612,068.55 and 275,335.30

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Solution

The fourth proportional to 408,045.70, 612,068.55 and 275,335.30 is: 413,002.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,045.70 : 612,068.55 = 275,335.30 : x
  2. Step 2: Convert to fraction form
    408,045.70/612,068.55 = 275,335.30/x
  3. Step 3: Cross multiply
    408,045.70x = 612,068.55 × 275,335.30
  4. Step 4: Simplify right side
    408,045.70x = 168,524,077,834.82
  5. Step 5: Solve for x
    x = 168,524,077,834.82/408,045.70
  6. Step 6: Final answer
    x = 413,002.95

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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.