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Finding the Fourth Proportional to 232,813.60, 349,738.80 and 223,367.20

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Solution

The fourth proportional to 232,813.60, 349,738.80 and 223,367.20 is: 335,548.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,813.60 : 349,738.80 = 223,367.20 : x
  2. Step 2: Convert to fraction form
    232,813.60/349,738.80 = 223,367.20/x
  3. Step 3: Cross multiply
    232,813.60x = 349,738.80 × 223,367.20
  4. Step 4: Simplify right side
    232,813.60x = 78,120,176,487.36
  5. Step 5: Solve for x
    x = 78,120,176,487.36/232,813.60
  6. Step 6: Final answer
    x = 335,548.17

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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.