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Finding the Fourth Proportional to 1,098,997.92, 1,648,733.58 and 340,824.06

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Solution

The fourth proportional to 1,098,997.92, 1,648,733.58 and 340,824.06 is: 511,309.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098,997.92 : 1,648,733.58 = 340,824.06 : x
  2. Step 2: Convert to fraction form
    1,098,997.92/1,648,733.58 = 340,824.06/x
  3. Step 3: Cross multiply
    1,098,997.92x = 1,648,733.58 × 340,824.06
  4. Step 4: Simplify right side
    1,098,997.92x = 561,928,072,593.94
  5. Step 5: Solve for x
    x = 561,928,072,593.94/1,098,997.92
  6. Step 6: Final answer
    x = 511,309.50

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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.