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Finding the Fourth Proportional to 648,100.89, 894,129.78 and 405,961.92

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Solution

The fourth proportional to 648,100.89, 894,129.78 and 405,961.92 is: 560,071.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,100.89 : 894,129.78 = 405,961.92 : x
  2. Step 2: Convert to fraction form
    648,100.89/894,129.78 = 405,961.92/x
  3. Step 3: Cross multiply
    648,100.89x = 894,129.78 × 405,961.92
  4. Step 4: Simplify right side
    648,100.89x = 362,982,638,371.18
  5. Step 5: Solve for x
    x = 362,982,638,371.18/648,100.89
  6. Step 6: Final answer
    x = 560,071.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.