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Finding the Fourth Proportional to 433,601.60, 650,402.40 and 274,169.30

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Solution

The fourth proportional to 433,601.60, 650,402.40 and 274,169.30 is: 411,253.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,601.60 : 650,402.40 = 274,169.30 : x
  2. Step 2: Convert to fraction form
    433,601.60/650,402.40 = 274,169.30/x
  3. Step 3: Cross multiply
    433,601.60x = 650,402.40 × 274,169.30
  4. Step 4: Simplify right side
    433,601.60x = 178,320,370,726.32
  5. Step 5: Solve for x
    x = 178,320,370,726.32/433,601.60
  6. Step 6: Final answer
    x = 411,253.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.