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Finding the Fourth Proportional to 467,338.73, 701,133.62 and 147,502.97

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Solution

The fourth proportional to 467,338.73, 701,133.62 and 147,502.97 is: 221,294.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,338.73 : 701,133.62 = 147,502.97 : x
  2. Step 2: Convert to fraction form
    467,338.73/701,133.62 = 147,502.97/x
  3. Step 3: Cross multiply
    467,338.73x = 701,133.62 × 147,502.97
  4. Step 4: Simplify right side
    467,338.73x = 103,419,291,316.85
  5. Step 5: Solve for x
    x = 103,419,291,316.85/467,338.73
  6. Step 6: Final answer
    x = 221,294.07

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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.