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Finding the Fourth Proportional to 295,537.20, 443,305.80 and 202,225.20

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Solution

The fourth proportional to 295,537.20, 443,305.80 and 202,225.20 is: 303,337.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,537.20 : 443,305.80 = 202,225.20 : x
  2. Step 2: Convert to fraction form
    295,537.20/443,305.80 = 202,225.20/x
  3. Step 3: Cross multiply
    295,537.20x = 443,305.80 × 202,225.20
  4. Step 4: Simplify right side
    295,537.20x = 89,647,604,066.16
  5. Step 5: Solve for x
    x = 89,647,604,066.16/295,537.20
  6. Step 6: Final answer
    x = 303,337.80

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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.