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Finding the Fourth Proportional to 313,909.20, 470,863.80 and 251,701.20

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Solution

The fourth proportional to 313,909.20, 470,863.80 and 251,701.20 is: 377,551.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,909.20 : 470,863.80 = 251,701.20 : x
  2. Step 2: Convert to fraction form
    313,909.20/470,863.80 = 251,701.20/x
  3. Step 3: Cross multiply
    313,909.20x = 470,863.80 × 251,701.20
  4. Step 4: Simplify right side
    313,909.20x = 118,516,983,496.56
  5. Step 5: Solve for x
    x = 118,516,983,496.56/313,909.20
  6. Step 6: Final answer
    x = 377,551.80

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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.