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Finding the Fourth Proportional to 395,713.20, 593,569.80 and 143,114.70

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Solution

The fourth proportional to 395,713.20, 593,569.80 and 143,114.70 is: 214,672.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,713.20 : 593,569.80 = 143,114.70 : x
  2. Step 2: Convert to fraction form
    395,713.20/593,569.80 = 143,114.70/x
  3. Step 3: Cross multiply
    395,713.20x = 593,569.80 × 143,114.70
  4. Step 4: Simplify right side
    395,713.20x = 84,948,563,856.06
  5. Step 5: Solve for x
    x = 84,948,563,856.06/395,713.20
  6. Step 6: Final answer
    x = 214,672.05

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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.