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Finding the Fourth Proportional to 408,298.30, 612,587.78 and 183,816.12

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Solution

The fourth proportional to 408,298.30, 612,587.78 and 183,816.12 is: 275,787.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,298.30 : 612,587.78 = 183,816.12 : x
  2. Step 2: Convert to fraction form
    408,298.30/612,587.78 = 183,816.12/x
  3. Step 3: Cross multiply
    408,298.30x = 612,587.78 × 183,816.12
  4. Step 4: Simplify right side
    408,298.30x = 112,603,508,879.01
  5. Step 5: Solve for x
    x = 112,603,508,879.01/408,298.30
  6. Step 6: Final answer
    x = 275,787.36

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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.