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Finding the Fourth Proportional to 381,664.20, 572,496.30 and 310,805.40

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Solution

The fourth proportional to 381,664.20, 572,496.30 and 310,805.40 is: 466,208.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,664.20 : 572,496.30 = 310,805.40 : x
  2. Step 2: Convert to fraction form
    381,664.20/572,496.30 = 310,805.40/x
  3. Step 3: Cross multiply
    381,664.20x = 572,496.30 × 310,805.40
  4. Step 4: Simplify right side
    381,664.20x = 177,934,941,520.02
  5. Step 5: Solve for x
    x = 177,934,941,520.02/381,664.20
  6. Step 6: Final answer
    x = 466,208.10

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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.