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Finding the Fourth Proportional to 403,416.40, 604,865.40 and 166,853.20

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Solution

The fourth proportional to 403,416.40, 604,865.40 and 166,853.20 is: 250,172.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,416.40 : 604,865.40 = 166,853.20 : x
  2. Step 2: Convert to fraction form
    403,416.40/604,865.40 = 166,853.20/x
  3. Step 3: Cross multiply
    403,416.40x = 604,865.40 × 166,853.20
  4. Step 4: Simplify right side
    403,416.40x = 100,923,727,559.28
  5. Step 5: Solve for x
    x = 100,923,727,559.28/403,416.40
  6. Step 6: Final answer
    x = 250,172.59

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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.