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Finding the Fourth Proportional to 341,805.80, 512,708.70 and 322,122.80

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Solution

The fourth proportional to 341,805.80, 512,708.70 and 322,122.80 is: 483,184.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,805.80 : 512,708.70 = 322,122.80 : x
  2. Step 2: Convert to fraction form
    341,805.80/512,708.70 = 322,122.80/x
  3. Step 3: Cross multiply
    341,805.80x = 512,708.70 × 322,122.80
  4. Step 4: Simplify right side
    341,805.80x = 165,155,162,028.36
  5. Step 5: Solve for x
    x = 165,155,162,028.36/341,805.80
  6. Step 6: Final answer
    x = 483,184.20

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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.