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Finding the Fourth Proportional to 295,943.85, 443,915.78 and 201,465.45

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Solution

The fourth proportional to 295,943.85, 443,915.78 and 201,465.45 is: 302,198.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,943.85 : 443,915.78 = 201,465.45 : x
  2. Step 2: Convert to fraction form
    295,943.85/443,915.78 = 201,465.45/x
  3. Step 3: Cross multiply
    295,943.85x = 443,915.78 × 201,465.45
  4. Step 4: Simplify right side
    295,943.85x = 89,433,691,372.47
  5. Step 5: Solve for x
    x = 89,433,691,372.47/295,943.85
  6. Step 6: Final answer
    x = 302,198.18

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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.