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Finding the Fourth Proportional to 542,892.04, 749,191.89 and 301,174.62

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Solution

The fourth proportional to 542,892.04, 749,191.89 and 301,174.62 is: 415,621.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,892.04 : 749,191.89 = 301,174.62 : x
  2. Step 2: Convert to fraction form
    542,892.04/749,191.89 = 301,174.62/x
  3. Step 3: Cross multiply
    542,892.04x = 749,191.89 × 301,174.62
  4. Step 4: Simplify right side
    542,892.04x = 225,637,582,777.83
  5. Step 5: Solve for x
    x = 225,637,582,777.83/542,892.04
  6. Step 6: Final answer
    x = 415,621.46

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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.