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Finding the Fourth Proportional to 437,920.80, 656,362.80 and 185,200.80

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Solution

The fourth proportional to 437,920.80, 656,362.80 and 185,200.80 is: 277,581.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,920.80 : 656,362.80 = 185,200.80 : x
  2. Step 2: Convert to fraction form
    437,920.80/656,362.80 = 185,200.80/x
  3. Step 3: Cross multiply
    437,920.80x = 656,362.80 × 185,200.80
  4. Step 4: Simplify right side
    437,920.80x = 121,558,915,650.24
  5. Step 5: Solve for x
    x = 121,558,915,650.24/437,920.80
  6. Step 6: Final answer
    x = 277,581.96

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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.