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Finding the Fourth Proportional to 542,684.53, 748,950.66 and 301,044.96

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Solution

The fourth proportional to 542,684.53, 748,950.66 and 301,044.96 is: 415,467.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,684.53 : 748,950.66 = 301,044.96 : x
  2. Step 2: Convert to fraction form
    542,684.53/748,950.66 = 301,044.96/x
  3. Step 3: Cross multiply
    542,684.53x = 748,950.66 × 301,044.96
  4. Step 4: Simplify right side
    542,684.53x = 225,467,821,481.67
  5. Step 5: Solve for x
    x = 225,467,821,481.67/542,684.53
  6. Step 6: Final answer
    x = 415,467.57

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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.