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Finding the Fourth Proportional to 295,864.10, 443,796.15 and 201,385.70

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Solution

The fourth proportional to 295,864.10, 443,796.15 and 201,385.70 is: 302,078.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,864.10 : 443,796.15 = 201,385.70 : x
  2. Step 2: Convert to fraction form
    295,864.10/443,796.15 = 201,385.70/x
  3. Step 3: Cross multiply
    295,864.10x = 443,796.15 × 201,385.70
  4. Step 4: Simplify right side
    295,864.10x = 89,374,198,325.06
  5. Step 5: Solve for x
    x = 89,374,198,325.06/295,864.10
  6. Step 6: Final answer
    x = 302,078.55

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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.