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Finding the Fourth Proportional to 310,439.18, 467,733.20 and 280,488.23

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Solution

The fourth proportional to 310,439.18, 467,733.20 and 280,488.23 is: 422,606.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,439.18 : 467,733.20 = 280,488.23 : x
  2. Step 2: Convert to fraction form
    310,439.18/467,733.20 = 280,488.23/x
  3. Step 3: Cross multiply
    310,439.18x = 467,733.20 × 280,488.23
  4. Step 4: Simplify right side
    310,439.18x = 131,193,657,380.24
  5. Step 5: Solve for x
    x = 131,193,657,380.24/310,439.18
  6. Step 6: Final answer
    x = 422,606.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.