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Finding the Fourth Proportional to 411,680, 568,118.40 and 223,264

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Solution

The fourth proportional to 411,680, 568,118.40 and 223,264 is: 308,104.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,680 : 568,118.40 = 223,264 : x
  2. Step 2: Convert to fraction form
    411,680/568,118.40 = 223,264/x
  3. Step 3: Cross multiply
    411,680x = 568,118.40 × 223,264
  4. Step 4: Simplify right side
    411,680x = 126,840,386,457.60
  5. Step 5: Solve for x
    x = 126,840,386,457.60/411,680
  6. Step 6: Final answer
    x = 308,104.32

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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.