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Finding the Fourth Proportional to 295,043.60, 442,565.40 and 200,565.20

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Solution

The fourth proportional to 295,043.60, 442,565.40 and 200,565.20 is: 300,847.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,043.60 : 442,565.40 = 200,565.20 : x
  2. Step 2: Convert to fraction form
    295,043.60/442,565.40 = 200,565.20/x
  3. Step 3: Cross multiply
    295,043.60x = 442,565.40 × 200,565.20
  4. Step 4: Simplify right side
    295,043.60x = 88,763,217,964.08
  5. Step 5: Solve for x
    x = 88,763,217,964.08/295,043.60
  6. Step 6: Final answer
    x = 300,847.80

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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.