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Finding the Fourth Proportional to 408,065.10, 611,494.98 and 197,452.14

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Solution

The fourth proportional to 408,065.10, 611,494.98 and 197,452.14 is: 295,886.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,065.10 : 611,494.98 = 197,452.14 : x
  2. Step 2: Convert to fraction form
    408,065.10/611,494.98 = 197,452.14/x
  3. Step 3: Cross multiply
    408,065.10x = 611,494.98 × 197,452.14
  4. Step 4: Simplify right side
    408,065.10x = 120,740,992,400.26
  5. Step 5: Solve for x
    x = 120,740,992,400.26/408,065.10
  6. Step 6: Final answer
    x = 295,886.59

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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.