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Finding the Fourth Proportional to 324,643.73, 448,000.52 and 177,462.05

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Solution

The fourth proportional to 324,643.73, 448,000.52 and 177,462.05 is: 244,893.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,643.73 : 448,000.52 = 177,462.05 : x
  2. Step 2: Convert to fraction form
    324,643.73/448,000.52 = 177,462.05/x
  3. Step 3: Cross multiply
    324,643.73x = 448,000.52 × 177,462.05
  4. Step 4: Simplify right side
    324,643.73x = 79,503,090,680.27
  5. Step 5: Solve for x
    x = 79,503,090,680.27/324,643.73
  6. Step 6: Final answer
    x = 244,893.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.