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Finding the Fourth Proportional to 458,768.44, 688,118.64 and 192,518.20

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Solution

The fourth proportional to 458,768.44, 688,118.64 and 192,518.20 is: 288,763.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,768.44 : 688,118.64 = 192,518.20 : x
  2. Step 2: Convert to fraction form
    458,768.44/688,118.64 = 192,518.20/x
  3. Step 3: Cross multiply
    458,768.44x = 688,118.64 × 192,518.20
  4. Step 4: Simplify right side
    458,768.44x = 132,475,361,959.25
  5. Step 5: Solve for x
    x = 132,475,361,959.25/458,768.44
  6. Step 6: Final answer
    x = 288,763.02

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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.