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Finding the Fourth Proportional to 542,022.11, 747,980.80 and 300,299.83

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Solution

The fourth proportional to 542,022.11, 747,980.80 and 300,299.83 is: 414,408.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,022.11 : 747,980.80 = 300,299.83 : x
  2. Step 2: Convert to fraction form
    542,022.11/747,980.80 = 300,299.83/x
  3. Step 3: Cross multiply
    542,022.11x = 747,980.80 × 300,299.83
  4. Step 4: Simplify right side
    542,022.11x = 224,618,507,083.26
  5. Step 5: Solve for x
    x = 224,618,507,083.26/542,022.11
  6. Step 6: Final answer
    x = 414,408.38

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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.