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Finding the Fourth Proportional to 411,763.40, 568,227.62 and 227,984.40

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Solution

The fourth proportional to 411,763.40, 568,227.62 and 227,984.40 is: 314,615.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,763.40 : 568,227.62 = 227,984.40 : x
  2. Step 2: Convert to fraction form
    411,763.40/568,227.62 = 227,984.40/x
  3. Step 3: Cross multiply
    411,763.40x = 568,227.62 × 227,984.40
  4. Step 4: Simplify right side
    411,763.40x = 129,547,033,579.09
  5. Step 5: Solve for x
    x = 129,547,033,579.09/411,763.40
  6. Step 6: Final answer
    x = 314,615.22

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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.