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Finding the Fourth Proportional to 292,487.76, 438,640.92 and 105,474.96

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Solution

The fourth proportional to 292,487.76, 438,640.92 and 105,474.96 is: 158,179.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,487.76 : 438,640.92 = 105,474.96 : x
  2. Step 2: Convert to fraction form
    292,487.76/438,640.92 = 105,474.96/x
  3. Step 3: Cross multiply
    292,487.76x = 438,640.92 × 105,474.96
  4. Step 4: Simplify right side
    292,487.76x = 46,265,633,491.36
  5. Step 5: Solve for x
    x = 46,265,633,491.36/292,487.76
  6. Step 6: Final answer
    x = 158,179.73

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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.