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Finding the Fourth Proportional to 542,919.79, 749,233.83 and 301,218.22

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Solution

The fourth proportional to 542,919.79, 749,233.83 and 301,218.22 is: 415,683.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,919.79 : 749,233.83 = 301,218.22 : x
  2. Step 2: Convert to fraction form
    542,919.79/749,233.83 = 301,218.22/x
  3. Step 3: Cross multiply
    542,919.79x = 749,233.83 × 301,218.22
  4. Step 4: Simplify right side
    542,919.79x = 225,682,880,636.38
  5. Step 5: Solve for x
    x = 225,682,880,636.38/542,919.79
  6. Step 6: Final answer
    x = 415,683.65

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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.