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Finding the Fourth Proportional to 406,175.60, 609,301.80 and 110,687.60

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Solution

The fourth proportional to 406,175.60, 609,301.80 and 110,687.60 is: 166,041.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,175.60 : 609,301.80 = 110,687.60 : x
  2. Step 2: Convert to fraction form
    406,175.60/609,301.80 = 110,687.60/x
  3. Step 3: Cross multiply
    406,175.60x = 609,301.80 × 110,687.60
  4. Step 4: Simplify right side
    406,175.60x = 67,442,153,917.68
  5. Step 5: Solve for x
    x = 67,442,153,917.68/406,175.60
  6. Step 6: Final answer
    x = 166,041.86

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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.