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Finding the Fourth Proportional to 411,609.80, 567,843.62 and 290,854.60

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Solution

The fourth proportional to 411,609.80, 567,843.62 and 290,854.60 is: 401,253.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,609.80 : 567,843.62 = 290,854.60 : x
  2. Step 2: Convert to fraction form
    411,609.80/567,843.62 = 290,854.60/x
  3. Step 3: Cross multiply
    411,609.80x = 567,843.62 × 290,854.60
  4. Step 4: Simplify right side
    411,609.80x = 165,159,926,083.77
  5. Step 5: Solve for x
    x = 165,159,926,083.77/411,609.80
  6. Step 6: Final answer
    x = 401,253.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.