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Finding the Fourth Proportional to 408,120.96, 612,388.81 and 183,436.14

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Solution

The fourth proportional to 408,120.96, 612,388.81 and 183,436.14 is: 275,247.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,120.96 : 612,388.81 = 183,436.14 : x
  2. Step 2: Convert to fraction form
    408,120.96/612,388.81 = 183,436.14/x
  3. Step 3: Cross multiply
    408,120.96x = 612,388.81 × 183,436.14
  4. Step 4: Simplify right side
    408,120.96x = 112,334,240,979.52
  5. Step 5: Solve for x
    x = 112,334,240,979.52/408,120.96
  6. Step 6: Final answer
    x = 275,247.42

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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.