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Finding the Fourth Proportional to 418,232.38, 627,362.21 and 199,094.69

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Solution

The fourth proportional to 418,232.38, 627,362.21 and 199,094.69 is: 298,648.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,232.38 : 627,362.21 = 199,094.69 : x
  2. Step 2: Convert to fraction form
    418,232.38/627,362.21 = 199,094.69/x
  3. Step 3: Cross multiply
    418,232.38x = 627,362.21 × 199,094.69
  4. Step 4: Simplify right side
    418,232.38x = 124,904,484,717.67
  5. Step 5: Solve for x
    x = 124,904,484,717.67/418,232.38
  6. Step 6: Final answer
    x = 298,648.53

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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.