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Finding the Fourth Proportional to 467,043.90, 644,261.31 and 306,158.46

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Solution

The fourth proportional to 467,043.90, 644,261.31 and 306,158.46 is: 422,328.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,043.90 : 644,261.31 = 306,158.46 : x
  2. Step 2: Convert to fraction form
    467,043.90/644,261.31 = 306,158.46/x
  3. Step 3: Cross multiply
    467,043.90x = 644,261.31 × 306,158.46
  4. Step 4: Simplify right side
    467,043.90x = 197,246,050,507.18
  5. Step 5: Solve for x
    x = 197,246,050,507.18/467,043.90
  6. Step 6: Final answer
    x = 422,328.72

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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.