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Finding the Fourth Proportional to 409,097.92, 613,376.16 and 195,897.28

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Solution

The fourth proportional to 409,097.92, 613,376.16 and 195,897.28 is: 293,716.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,097.92 : 613,376.16 = 195,897.28 : x
  2. Step 2: Convert to fraction form
    409,097.92/613,376.16 = 195,897.28/x
  3. Step 3: Cross multiply
    409,097.92x = 613,376.16 × 195,897.28
  4. Step 4: Simplify right side
    409,097.92x = 120,158,721,360.85
  5. Step 5: Solve for x
    x = 120,158,721,360.85/409,097.92
  6. Step 6: Final answer
    x = 293,716.29

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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.