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Finding the Fourth Proportional to 443,465.80, 665,198.70 and 409,251.40

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Solution

The fourth proportional to 443,465.80, 665,198.70 and 409,251.40 is: 613,877.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,465.80 : 665,198.70 = 409,251.40 : x
  2. Step 2: Convert to fraction form
    443,465.80/665,198.70 = 409,251.40/x
  3. Step 3: Cross multiply
    443,465.80x = 665,198.70 × 409,251.40
  4. Step 4: Simplify right side
    443,465.80x = 272,233,499,253.18
  5. Step 5: Solve for x
    x = 272,233,499,253.18/443,465.80
  6. Step 6: Final answer
    x = 613,877.10

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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.