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Finding the Fourth Proportional to 403,548.40, 605,063.40 and 166,985.20

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Solution

The fourth proportional to 403,548.40, 605,063.40 and 166,985.20 is: 250,370.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,548.40 : 605,063.40 = 166,985.20 : x
  2. Step 2: Convert to fraction form
    403,548.40/605,063.40 = 166,985.20/x
  3. Step 3: Cross multiply
    403,548.40x = 605,063.40 × 166,985.20
  4. Step 4: Simplify right side
    403,548.40x = 101,036,632,861.68
  5. Step 5: Solve for x
    x = 101,036,632,861.68/403,548.40
  6. Step 6: Final answer
    x = 250,370.55

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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.