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Finding the Fourth Proportional to 299,468.40, 448,486.47 and 172,724.41

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Solution

The fourth proportional to 299,468.40, 448,486.47 and 172,724.41 is: 258,673.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,468.40 : 448,486.47 = 172,724.41 : x
  2. Step 2: Convert to fraction form
    299,468.40/448,486.47 = 172,724.41/x
  3. Step 3: Cross multiply
    299,468.40x = 448,486.47 × 172,724.41
  4. Step 4: Simplify right side
    299,468.40x = 77,464,560,923.73
  5. Step 5: Solve for x
    x = 77,464,560,923.73/299,468.40
  6. Step 6: Final answer
    x = 258,673.57

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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.