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Finding the Fourth Proportional to 299,502.92, 449,344.58 and 173,114.34

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Solution

The fourth proportional to 299,502.92, 449,344.58 and 173,114.34 is: 259,723.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,502.92 : 449,344.58 = 173,114.34 : x
  2. Step 2: Convert to fraction form
    299,502.92/449,344.58 = 173,114.34/x
  3. Step 3: Cross multiply
    299,502.92x = 449,344.58 × 173,114.34
  4. Step 4: Simplify right side
    299,502.92x = 77,787,989,533.71
  5. Step 5: Solve for x
    x = 77,787,989,533.71/299,502.92
  6. Step 6: Final answer
    x = 259,723.65

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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.