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Finding the Fourth Proportional to 228,769.60, 343,348.80 and 184,446.40

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Solution

The fourth proportional to 228,769.60, 343,348.80 and 184,446.40 is: 276,826.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,769.60 : 343,348.80 = 184,446.40 : x
  2. Step 2: Convert to fraction form
    228,769.60/343,348.80 = 184,446.40/x
  3. Step 3: Cross multiply
    228,769.60x = 343,348.80 × 184,446.40
  4. Step 4: Simplify right side
    228,769.60x = 63,329,450,104.32
  5. Step 5: Solve for x
    x = 63,329,450,104.32/228,769.60
  6. Step 6: Final answer
    x = 276,826.34

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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.