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Finding the Fourth Proportional to 406,069.60, 609,104.40 and 195,728.80

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Solution

The fourth proportional to 406,069.60, 609,104.40 and 195,728.80 is: 293,593.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,069.60 : 609,104.40 = 195,728.80 : x
  2. Step 2: Convert to fraction form
    406,069.60/609,104.40 = 195,728.80/x
  3. Step 3: Cross multiply
    406,069.60x = 609,104.40 × 195,728.80
  4. Step 4: Simplify right side
    406,069.60x = 119,219,273,286.72
  5. Step 5: Solve for x
    x = 119,219,273,286.72/406,069.60
  6. Step 6: Final answer
    x = 293,593.20

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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.