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Finding the Fourth Proportional to 408,696.92, 612,647.78 and 195,409.40

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Solution

The fourth proportional to 408,696.92, 612,647.78 and 195,409.40 is: 292,924.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,696.92 : 612,647.78 = 195,409.40 : x
  2. Step 2: Convert to fraction form
    408,696.92/612,647.78 = 195,409.40/x
  3. Step 3: Cross multiply
    408,696.92x = 612,647.78 × 195,409.40
  4. Step 4: Simplify right side
    408,696.92x = 119,717,135,101.13
  5. Step 5: Solve for x
    x = 119,717,135,101.13/408,696.92
  6. Step 6: Final answer
    x = 292,924.00

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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.