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Finding the Fourth Proportional to 305,765.20, 421,947.93 and 169,794.82

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Solution

The fourth proportional to 305,765.20, 421,947.93 and 169,794.82 is: 234,312.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,765.20 : 421,947.93 = 169,794.82 : x
  2. Step 2: Convert to fraction form
    305,765.20/421,947.93 = 169,794.82/x
  3. Step 3: Cross multiply
    305,765.20x = 421,947.93 × 169,794.82
  4. Step 4: Simplify right side
    305,765.20x = 71,644,572,823.72
  5. Step 5: Solve for x
    x = 71,644,572,823.72/305,765.20
  6. Step 6: Final answer
    x = 234,312.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.