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Finding the Fourth Proportional to 411,323.67, 567,635.85 and 290,677.82

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Solution

The fourth proportional to 411,323.67, 567,635.85 and 290,677.82 is: 401,141.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,323.67 : 567,635.85 = 290,677.82 : x
  2. Step 2: Convert to fraction form
    411,323.67/567,635.85 = 290,677.82/x
  3. Step 3: Cross multiply
    411,323.67x = 567,635.85 × 290,677.82
  4. Step 4: Simplify right side
    411,323.67x = 164,999,148,593.67
  5. Step 5: Solve for x
    x = 164,999,148,593.67/411,323.67
  6. Step 6: Final answer
    x = 401,141.88

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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.