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Finding the Fourth Proportional to 467,042.40, 644,259.24 and 306,156.96

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Solution

The fourth proportional to 467,042.40, 644,259.24 and 306,156.96 is: 422,326.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,042.40 : 644,259.24 = 306,156.96 : x
  2. Step 2: Convert to fraction form
    467,042.40/644,259.24 = 306,156.96/x
  3. Step 3: Cross multiply
    467,042.40x = 644,259.24 × 306,156.96
  4. Step 4: Simplify right side
    467,042.40x = 197,244,450,370.31
  5. Step 5: Solve for x
    x = 197,244,450,370.31/467,042.40
  6. Step 6: Final answer
    x = 422,326.65

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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.