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Finding the Fourth Proportional to 411,614.30, 567,849.83 and 290,859.10

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Solution

The fourth proportional to 411,614.30, 567,849.83 and 290,859.10 is: 401,259.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,614.30 : 567,849.83 = 290,859.10 : x
  2. Step 2: Convert to fraction form
    411,614.30/567,849.83 = 290,859.10/x
  3. Step 3: Cross multiply
    411,614.30x = 567,849.83 × 290,859.10
  4. Step 4: Simplify right side
    411,614.30x = 165,164,287,615.03
  5. Step 5: Solve for x
    x = 165,164,287,615.03/411,614.30
  6. Step 6: Final answer
    x = 401,259.84

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