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Finding the Fourth Proportional to 403,301.40, 604,692.90 and 166,738.20

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Solution

The fourth proportional to 403,301.40, 604,692.90 and 166,738.20 is: 250,000.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,301.40 : 604,692.90 = 166,738.20 : x
  2. Step 2: Convert to fraction form
    403,301.40/604,692.90 = 166,738.20/x
  3. Step 3: Cross multiply
    403,301.40x = 604,692.90 × 166,738.20
  4. Step 4: Simplify right side
    403,301.40x = 100,825,405,698.78
  5. Step 5: Solve for x
    x = 100,825,405,698.78/403,301.40
  6. Step 6: Final answer
    x = 250,000.14

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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.