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Finding the Fourth Proportional to 296,114.40, 443,807.10 and 201,344.40

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Solution

The fourth proportional to 296,114.40, 443,807.10 and 201,344.40 is: 301,768.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,114.40 : 443,807.10 = 201,344.40 : x
  2. Step 2: Convert to fraction form
    296,114.40/443,807.10 = 201,344.40/x
  3. Step 3: Cross multiply
    296,114.40x = 443,807.10 × 201,344.40
  4. Step 4: Simplify right side
    296,114.40x = 89,358,074,265.24
  5. Step 5: Solve for x
    x = 89,358,074,265.24/296,114.40
  6. Step 6: Final answer
    x = 301,768.76

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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.