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Finding the Fourth Proportional to 458,035.22, 687,057.24 and 173,649.29

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Solution

The fourth proportional to 458,035.22, 687,057.24 and 173,649.29 is: 260,475.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,035.22 : 687,057.24 = 173,649.29 : x
  2. Step 2: Convert to fraction form
    458,035.22/687,057.24 = 173,649.29/x
  3. Step 3: Cross multiply
    458,035.22x = 687,057.24 × 173,649.29
  4. Step 4: Simplify right side
    458,035.22x = 119,306,998,480.07
  5. Step 5: Solve for x
    x = 119,306,998,480.07/458,035.22
  6. Step 6: Final answer
    x = 260,475.60

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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.