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Finding the Fourth Proportional to 408,045.70, 612,154.95 and 123,712.90

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Solution

The fourth proportional to 408,045.70, 612,154.95 and 123,712.90 is: 185,595.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,045.70 : 612,154.95 = 123,712.90 : x
  2. Step 2: Convert to fraction form
    408,045.70/612,154.95 = 123,712.90/x
  3. Step 3: Cross multiply
    408,045.70x = 612,154.95 × 123,712.90
  4. Step 4: Simplify right side
    408,045.70x = 75,731,464,113.86
  5. Step 5: Solve for x
    x = 75,731,464,113.86/408,045.70
  6. Step 6: Final answer
    x = 185,595.55

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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.