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Finding the Fourth Proportional to 305,872.80, 458,809.20 and 282,253.20

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Solution

The fourth proportional to 305,872.80, 458,809.20 and 282,253.20 is: 423,379.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,872.80 : 458,809.20 = 282,253.20 : x
  2. Step 2: Convert to fraction form
    305,872.80/458,809.20 = 282,253.20/x
  3. Step 3: Cross multiply
    305,872.80x = 458,809.20 × 282,253.20
  4. Step 4: Simplify right side
    305,872.80x = 129,500,364,889.44
  5. Step 5: Solve for x
    x = 129,500,364,889.44/305,872.80
  6. Step 6: Final answer
    x = 423,379.80

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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.