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Finding the Fourth Proportional to 411,706.56, 568,154.96 and 230,418.48

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Solution

The fourth proportional to 411,706.56, 568,154.96 and 230,418.48 is: 317,977.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,706.56 : 568,154.96 = 230,418.48 : x
  2. Step 2: Convert to fraction form
    411,706.56/568,154.96 = 230,418.48/x
  3. Step 3: Cross multiply
    411,706.56x = 568,154.96 × 230,418.48
  4. Step 4: Simplify right side
    411,706.56x = 130,913,399,869.06
  5. Step 5: Solve for x
    x = 130,913,399,869.06/411,706.56
  6. Step 6: Final answer
    x = 317,977.45

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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.