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Finding the Fourth Proportional to 410,626, 566,663.88 and 222,210

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Solution

The fourth proportional to 410,626, 566,663.88 and 222,210 is: 306,649.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,626 : 566,663.88 = 222,210 : x
  2. Step 2: Convert to fraction form
    410,626/566,663.88 = 222,210/x
  3. Step 3: Cross multiply
    410,626x = 566,663.88 × 222,210
  4. Step 4: Simplify right side
    410,626x = 125,918,380,774.80
  5. Step 5: Solve for x
    x = 125,918,380,774.80/410,626
  6. Step 6: Final answer
    x = 306,649.80

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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.