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Finding the Fourth Proportional to 542,791, 749,055.21 and 301,077.69

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Solution

The fourth proportional to 542,791, 749,055.21 and 301,077.69 is: 415,489.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,791 : 749,055.21 = 301,077.69 : x
  2. Step 2: Convert to fraction form
    542,791/749,055.21 = 301,077.69/x
  3. Step 3: Cross multiply
    542,791x = 749,055.21 × 301,077.69
  4. Step 4: Simplify right side
    542,791x = 225,523,812,309.27
  5. Step 5: Solve for x
    x = 225,523,812,309.27/542,791
  6. Step 6: Final answer
    x = 415,489.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.