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Finding the Fourth Proportional to 411,738.17, 568,069.16 and 230,421.29

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Solution

The fourth proportional to 411,738.17, 568,069.16 and 230,421.29 is: 317,908.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,738.17 : 568,069.16 = 230,421.29 : x
  2. Step 2: Convert to fraction form
    411,738.17/568,069.16 = 230,421.29/x
  3. Step 3: Cross multiply
    411,738.17x = 568,069.16 × 230,421.29
  4. Step 4: Simplify right side
    411,738.17x = 130,895,228,656.42
  5. Step 5: Solve for x
    x = 130,895,228,656.42/411,738.17
  6. Step 6: Final answer
    x = 317,908.90

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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.