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Finding the Fourth Proportional to 299,814.71, 449,594.03 and 173,542.11

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Solution

The fourth proportional to 299,814.71, 449,594.03 and 173,542.11 is: 260,239.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,814.71 : 449,594.03 = 173,542.11 : x
  2. Step 2: Convert to fraction form
    299,814.71/449,594.03 = 173,542.11/x
  3. Step 3: Cross multiply
    299,814.71x = 449,594.03 × 173,542.11
  4. Step 4: Simplify right side
    299,814.71x = 78,023,495,741.89
  5. Step 5: Solve for x
    x = 78,023,495,741.89/299,814.71
  6. Step 6: Final answer
    x = 260,239.06

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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.