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Finding the Fourth Proportional to 542,873.24, 749,164.20 and 301,192.64

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Solution

The fourth proportional to 542,873.24, 749,164.20 and 301,192.64 is: 415,645.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,873.24 : 749,164.20 = 301,192.64 : x
  2. Step 2: Convert to fraction form
    542,873.24/749,164.20 = 301,192.64/x
  3. Step 3: Cross multiply
    542,873.24x = 749,164.20 × 301,192.64
  4. Step 4: Simplify right side
    542,873.24x = 225,642,743,191.49
  5. Step 5: Solve for x
    x = 225,642,743,191.49/542,873.24
  6. Step 6: Final answer
    x = 415,645.36

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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.