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Finding the Fourth Proportional to 411,709.17, 568,158.57 and 230,421.09

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Solution

The fourth proportional to 411,709.17, 568,158.57 and 230,421.09 is: 317,981.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,709.17 : 568,158.57 = 230,421.09 : x
  2. Step 2: Convert to fraction form
    411,709.17/568,158.57 = 230,421.09/x
  3. Step 3: Cross multiply
    411,709.17x = 568,158.57 × 230,421.09
  4. Step 4: Simplify right side
    411,709.17x = 130,915,717,424.28
  5. Step 5: Solve for x
    x = 130,915,717,424.28/411,709.17
  6. Step 6: Final answer
    x = 317,981.06

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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.