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Finding the Fourth Proportional to 513,118.20, 708,104.16 and 286,763.70

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Solution

The fourth proportional to 513,118.20, 708,104.16 and 286,763.70 is: 395,734.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,118.20 : 708,104.16 = 286,763.70 : x
  2. Step 2: Convert to fraction form
    513,118.20/708,104.16 = 286,763.70/x
  3. Step 3: Cross multiply
    513,118.20x = 708,104.16 × 286,763.70
  4. Step 4: Simplify right side
    513,118.20x = 203,058,568,906.99
  5. Step 5: Solve for x
    x = 203,058,568,906.99/513,118.20
  6. Step 6: Final answer
    x = 395,734.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.