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Finding the Fourth Proportional to 349,268.78, 523,677.78 and 166,800.80

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Solution

The fourth proportional to 349,268.78, 523,677.78 and 166,800.80 is: 250,093.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,268.78 : 523,677.78 = 166,800.80 : x
  2. Step 2: Convert to fraction form
    349,268.78/523,677.78 = 166,800.80/x
  3. Step 3: Cross multiply
    349,268.78x = 523,677.78 × 166,800.80
  4. Step 4: Simplify right side
    349,268.78x = 87,349,872,646.22
  5. Step 5: Solve for x
    x = 87,349,872,646.22/349,268.78
  6. Step 6: Final answer
    x = 250,093.56

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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.