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Finding the Fourth Proportional to 229,504.20, 344,256.30 and 203,916.30

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Solution

The fourth proportional to 229,504.20, 344,256.30 and 203,916.30 is: 305,874.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,504.20 : 344,256.30 = 203,916.30 : x
  2. Step 2: Convert to fraction form
    229,504.20/344,256.30 = 203,916.30/x
  3. Step 3: Cross multiply
    229,504.20x = 344,256.30 × 203,916.30
  4. Step 4: Simplify right side
    229,504.20x = 70,199,470,947.69
  5. Step 5: Solve for x
    x = 70,199,470,947.69/229,504.20
  6. Step 6: Final answer
    x = 305,874.45

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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.