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Finding the Fourth Proportional to 415,216.47, 622,340.82 and 190,600.65

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Solution

The fourth proportional to 415,216.47, 622,340.82 and 190,600.65 is: 285,678.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,216.47 : 622,340.82 = 190,600.65 : x
  2. Step 2: Convert to fraction form
    415,216.47/622,340.82 = 190,600.65/x
  3. Step 3: Cross multiply
    415,216.47x = 622,340.82 × 190,600.65
  4. Step 4: Simplify right side
    415,216.47x = 118,618,564,813.53
  5. Step 5: Solve for x
    x = 118,618,564,813.53/415,216.47
  6. Step 6: Final answer
    x = 285,678.85

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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.