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Finding the Fourth Proportional to 295,311.80, 442,967.70 and 108,396.20

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Solution

The fourth proportional to 295,311.80, 442,967.70 and 108,396.20 is: 162,594.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,311.80 : 442,967.70 = 108,396.20 : x
  2. Step 2: Convert to fraction form
    295,311.80/442,967.70 = 108,396.20/x
  3. Step 3: Cross multiply
    295,311.80x = 442,967.70 × 108,396.20
  4. Step 4: Simplify right side
    295,311.80x = 48,016,015,402.74
  5. Step 5: Solve for x
    x = 48,016,015,402.74/295,311.80
  6. Step 6: Final answer
    x = 162,594.30

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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.