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Finding the Fourth Proportional to 288,129.80, 431,844.78 and 203,914.58

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Solution

The fourth proportional to 288,129.80, 431,844.78 and 203,914.58 is: 305,624.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,129.80 : 431,844.78 = 203,914.58 : x
  2. Step 2: Convert to fraction form
    288,129.80/431,844.78 = 203,914.58/x
  3. Step 3: Cross multiply
    288,129.80x = 431,844.78 × 203,914.58
  4. Step 4: Simplify right side
    288,129.80x = 88,059,448,018.50
  5. Step 5: Solve for x
    x = 88,059,448,018.50/288,129.80
  6. Step 6: Final answer
    x = 305,624.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.