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Finding the Fourth Proportional to 411,651.28, 568,109.28 and 230,381.36

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Solution

The fourth proportional to 411,651.28, 568,109.28 and 230,381.36 is: 317,943.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,651.28 : 568,109.28 = 230,381.36 : x
  2. Step 2: Convert to fraction form
    411,651.28/568,109.28 = 230,381.36/x
  3. Step 3: Cross multiply
    411,651.28x = 568,109.28 × 230,381.36
  4. Step 4: Simplify right side
    411,651.28x = 130,881,788,555.02
  5. Step 5: Solve for x
    x = 130,881,788,555.02/411,651.28
  6. Step 6: Final answer
    x = 317,943.35

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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.