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Finding the Fourth Proportional to 303,872.80, 455,809.20 and 146,408.80

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Solution

The fourth proportional to 303,872.80, 455,809.20 and 146,408.80 is: 219,613.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,872.80 : 455,809.20 = 146,408.80 : x
  2. Step 2: Convert to fraction form
    303,872.80/455,809.20 = 146,408.80/x
  3. Step 3: Cross multiply
    303,872.80x = 455,809.20 × 146,408.80
  4. Step 4: Simplify right side
    303,872.80x = 66,734,478,000.96
  5. Step 5: Solve for x
    x = 66,734,478,000.96/303,872.80
  6. Step 6: Final answer
    x = 219,613.20

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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.