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Finding the Fourth Proportional to 242,586.30, 363,928.05 and 203,414.70

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Solution

The fourth proportional to 242,586.30, 363,928.05 and 203,414.70 is: 305,162.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,586.30 : 363,928.05 = 203,414.70 : x
  2. Step 2: Convert to fraction form
    242,586.30/363,928.05 = 203,414.70/x
  3. Step 3: Cross multiply
    242,586.30x = 363,928.05 × 203,414.70
  4. Step 4: Simplify right side
    242,586.30x = 74,028,315,112.34
  5. Step 5: Solve for x
    x = 74,028,315,112.34/242,586.30
  6. Step 6: Final answer
    x = 305,162.80

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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.