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Finding the Fourth Proportional to 391,640.80, 587,461.20 and 312,908.80

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Solution

The fourth proportional to 391,640.80, 587,461.20 and 312,908.80 is: 469,363.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,640.80 : 587,461.20 = 312,908.80 : x
  2. Step 2: Convert to fraction form
    391,640.80/587,461.20 = 312,908.80/x
  3. Step 3: Cross multiply
    391,640.80x = 587,461.20 × 312,908.80
  4. Step 4: Simplify right side
    391,640.80x = 183,821,779,138.56
  5. Step 5: Solve for x
    x = 183,821,779,138.56/391,640.80
  6. Step 6: Final answer
    x = 469,363.20

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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.