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Finding the Fourth Proportional to 295,221.70, 442,832.55 and 206,575.30

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Solution

The fourth proportional to 295,221.70, 442,832.55 and 206,575.30 is: 309,862.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,221.70 : 442,832.55 = 206,575.30 : x
  2. Step 2: Convert to fraction form
    295,221.70/442,832.55 = 206,575.30/x
  3. Step 3: Cross multiply
    295,221.70x = 442,832.55 × 206,575.30
  4. Step 4: Simplify right side
    295,221.70x = 91,478,266,866.02
  5. Step 5: Solve for x
    x = 91,478,266,866.02/295,221.70
  6. Step 6: Final answer
    x = 309,862.95

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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.