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Finding the Fourth Proportional to 345,198.52, 517,624.61 and 201,151.00

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Solution

The fourth proportional to 345,198.52, 517,624.61 and 201,151.00 is: 301,625.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,198.52 : 517,624.61 = 201,151.00 : x
  2. Step 2: Convert to fraction form
    345,198.52/517,624.61 = 201,151.00/x
  3. Step 3: Cross multiply
    345,198.52x = 517,624.61 × 201,151.00
  4. Step 4: Simplify right side
    345,198.52x = 104,120,705,787.22
  5. Step 5: Solve for x
    x = 104,120,705,787.22/345,198.52
  6. Step 6: Final answer
    x = 301,625.59

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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.