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Finding the Fourth Proportional to 422,639.40, 583,302.15 and 261,546.38

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Solution

The fourth proportional to 422,639.40, 583,302.15 and 261,546.38 is: 360,970.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,639.40 : 583,302.15 = 261,546.38 : x
  2. Step 2: Convert to fraction form
    422,639.40/583,302.15 = 261,546.38/x
  3. Step 3: Cross multiply
    422,639.40x = 583,302.15 × 261,546.38
  4. Step 4: Simplify right side
    422,639.40x = 152,560,562,862.21
  5. Step 5: Solve for x
    x = 152,560,562,862.21/422,639.40
  6. Step 6: Final answer
    x = 360,970.99

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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.