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Finding the Fourth Proportional to 492,712.30, 739,177.80 and 226,408.60

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Solution

The fourth proportional to 492,712.30, 739,177.80 and 226,408.60 is: 339,663.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,712.30 : 739,177.80 = 226,408.60 : x
  2. Step 2: Convert to fraction form
    492,712.30/739,177.80 = 226,408.60/x
  3. Step 3: Cross multiply
    492,712.30x = 739,177.80 × 226,408.60
  4. Step 4: Simplify right side
    492,712.30x = 167,356,210,849.08
  5. Step 5: Solve for x
    x = 167,356,210,849.08/492,712.30
  6. Step 6: Final answer
    x = 339,663.15

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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.