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Finding the Fourth Proportional to 341,872.80, 512,809.20 and 322,189.80

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Solution

The fourth proportional to 341,872.80, 512,809.20 and 322,189.80 is: 483,284.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,872.80 : 512,809.20 = 322,189.80 : x
  2. Step 2: Convert to fraction form
    341,872.80/512,809.20 = 322,189.80/x
  3. Step 3: Cross multiply
    341,872.80x = 512,809.20 × 322,189.80
  4. Step 4: Simplify right side
    341,872.80x = 165,221,893,586.16
  5. Step 5: Solve for x
    x = 165,221,893,586.16/341,872.80
  6. Step 6: Final answer
    x = 483,284.70

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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.