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Finding the Fourth Proportional to 276,035.20, 414,385.60 and 157,788.80

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Solution

The fourth proportional to 276,035.20, 414,385.60 and 157,788.80 is: 236,873.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,035.20 : 414,385.60 = 157,788.80 : x
  2. Step 2: Convert to fraction form
    276,035.20/414,385.60 = 157,788.80/x
  3. Step 3: Cross multiply
    276,035.20x = 414,385.60 × 157,788.80
  4. Step 4: Simplify right side
    276,035.20x = 65,385,406,561.28
  5. Step 5: Solve for x
    x = 65,385,406,561.28/276,035.20
  6. Step 6: Final answer
    x = 236,873.44

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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.