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Finding the Fourth Proportional to 409,934.20, 614,901.30 and 251,649.40

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Solution

The fourth proportional to 409,934.20, 614,901.30 and 251,649.40 is: 377,474.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,934.20 : 614,901.30 = 251,649.40 : x
  2. Step 2: Convert to fraction form
    409,934.20/614,901.30 = 251,649.40/x
  3. Step 3: Cross multiply
    409,934.20x = 614,901.30 × 251,649.40
  4. Step 4: Simplify right side
    409,934.20x = 154,739,543,204.22
  5. Step 5: Solve for x
    x = 154,739,543,204.22/409,934.20
  6. Step 6: Final answer
    x = 377,474.10

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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.