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Finding the Fourth Proportional to 407,227.98, 611,045.64 and 182,748.90

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Solution

The fourth proportional to 407,227.98, 611,045.64 and 182,748.90 is: 274,214.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,227.98 : 611,045.64 = 182,748.90 : x
  2. Step 2: Convert to fraction form
    407,227.98/611,045.64 = 182,748.90/x
  3. Step 3: Cross multiply
    407,227.98x = 611,045.64 × 182,748.90
  4. Step 4: Simplify right side
    407,227.98x = 111,667,918,559.80
  5. Step 5: Solve for x
    x = 111,667,918,559.80/407,227.98
  6. Step 6: Final answer
    x = 274,214.75

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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.