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Finding the Fourth Proportional to 494,399.67, 741,670.55 and 152,869.71

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Solution

The fourth proportional to 494,399.67, 741,670.55 and 152,869.71 is: 229,326.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,399.67 : 741,670.55 = 152,869.71 : x
  2. Step 2: Convert to fraction form
    494,399.67/741,670.55 = 152,869.71/x
  3. Step 3: Cross multiply
    494,399.67x = 741,670.55 × 152,869.71
  4. Step 4: Simplify right side
    494,399.67x = 113,378,961,129.69
  5. Step 5: Solve for x
    x = 113,378,961,129.69/494,399.67
  6. Step 6: Final answer
    x = 229,326.53

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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.