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Finding the Fourth Proportional to 295,901.10, 443,851.65 and 201,422.70

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Solution

The fourth proportional to 295,901.10, 443,851.65 and 201,422.70 is: 302,134.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,901.10 : 443,851.65 = 201,422.70 : x
  2. Step 2: Convert to fraction form
    295,901.10/443,851.65 = 201,422.70/x
  3. Step 3: Cross multiply
    295,901.10x = 443,851.65 × 201,422.70
  4. Step 4: Simplify right side
    295,901.10x = 89,401,797,742.46
  5. Step 5: Solve for x
    x = 89,401,797,742.46/295,901.10
  6. Step 6: Final answer
    x = 302,134.05

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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.