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Finding the Fourth Proportional to 229,657.38, 344,463.80 and 69,734.72

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Solution

The fourth proportional to 229,657.38, 344,463.80 and 69,734.72 is: 104,595.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,657.38 : 344,463.80 = 69,734.72 : x
  2. Step 2: Convert to fraction form
    229,657.38/344,463.80 = 69,734.72/x
  3. Step 3: Cross multiply
    229,657.38x = 344,463.80 × 69,734.72
  4. Step 4: Simplify right side
    229,657.38x = 24,021,085,289.97
  5. Step 5: Solve for x
    x = 24,021,085,289.97/229,657.38
  6. Step 6: Final answer
    x = 104,595.31

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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.