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Finding the Fourth Proportional to 406,452.51, 609,738.17 and 195,917.31

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Solution

The fourth proportional to 406,452.51, 609,738.17 and 195,917.31 is: 293,904.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,452.51 : 609,738.17 = 195,917.31 : x
  2. Step 2: Convert to fraction form
    406,452.51/609,738.17 = 195,917.31/x
  3. Step 3: Cross multiply
    406,452.51x = 609,738.17 × 195,917.31
  4. Step 4: Simplify right side
    406,452.51x = 119,458,262,070.72
  5. Step 5: Solve for x
    x = 119,458,262,070.72/406,452.51
  6. Step 6: Final answer
    x = 293,904.60

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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.