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Finding the Fourth Proportional to 379,477.49, 569,132.38 and 109,546.97

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Solution

The fourth proportional to 379,477.49, 569,132.38 and 109,546.97 is: 164,296.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,477.49 : 569,132.38 = 109,546.97 : x
  2. Step 2: Convert to fraction form
    379,477.49/569,132.38 = 109,546.97/x
  3. Step 3: Cross multiply
    379,477.49x = 569,132.38 × 109,546.97
  4. Step 4: Simplify right side
    379,477.49x = 62,346,724,638.36
  5. Step 5: Solve for x
    x = 62,346,724,638.36/379,477.49
  6. Step 6: Final answer
    x = 164,296.24

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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.