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Finding the Fourth Proportional to 295,902.10, 443,853.15 and 201,423.70

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Solution

The fourth proportional to 295,902.10, 443,853.15 and 201,423.70 is: 302,135.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,902.10 : 443,853.15 = 201,423.70 : x
  2. Step 2: Convert to fraction form
    295,902.10/443,853.15 = 201,423.70/x
  3. Step 3: Cross multiply
    295,902.10x = 443,853.15 × 201,423.70
  4. Step 4: Simplify right side
    295,902.10x = 89,402,543,729.66
  5. Step 5: Solve for x
    x = 89,402,543,729.66/295,902.10
  6. Step 6: Final answer
    x = 302,135.55

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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.