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Finding the Fourth Proportional to 534,644.93, 801,977.64 and 174,817.13

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Solution

The fourth proportional to 534,644.93, 801,977.64 and 174,817.13 is: 262,229.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,644.93 : 801,977.64 = 174,817.13 : x
  2. Step 2: Convert to fraction form
    534,644.93/801,977.64 = 174,817.13/x
  3. Step 3: Cross multiply
    534,644.93x = 801,977.64 × 174,817.13
  4. Step 4: Simplify right side
    534,644.93x = 140,199,431,353.92
  5. Step 5: Solve for x
    x = 140,199,431,353.92/534,644.93
  6. Step 6: Final answer
    x = 262,229.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.