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Finding the Fourth Proportional to 289,202.40, 433,227.60 and 254,565.60

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Solution

The fourth proportional to 289,202.40, 433,227.60 and 254,565.60 is: 381,341.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,202.40 : 433,227.60 = 254,565.60 : x
  2. Step 2: Convert to fraction form
    289,202.40/433,227.60 = 254,565.60/x
  3. Step 3: Cross multiply
    289,202.40x = 433,227.60 × 254,565.60
  4. Step 4: Simplify right side
    289,202.40x = 110,284,843,930.56
  5. Step 5: Solve for x
    x = 110,284,843,930.56/289,202.40
  6. Step 6: Final answer
    x = 381,341.39

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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.