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Finding the Fourth Proportional to 422,641.40, 583,304.92 and 261,548.38

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Solution

The fourth proportional to 422,641.40, 583,304.92 and 261,548.38 is: 360,973.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,641.40 : 583,304.92 = 261,548.38 : x
  2. Step 2: Convert to fraction form
    422,641.40/583,304.92 = 261,548.38/x
  3. Step 3: Cross multiply
    422,641.40x = 583,304.92 × 261,548.38
  4. Step 4: Simplify right side
    422,641.40x = 152,562,456,872.03
  5. Step 5: Solve for x
    x = 152,562,456,872.03/422,641.40
  6. Step 6: Final answer
    x = 360,973.76

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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.