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Finding the Fourth Proportional to 410,760, 566,848.80 and 222,344

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Solution

The fourth proportional to 410,760, 566,848.80 and 222,344 is: 306,834.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,760 : 566,848.80 = 222,344 : x
  2. Step 2: Convert to fraction form
    410,760/566,848.80 = 222,344/x
  3. Step 3: Cross multiply
    410,760x = 566,848.80 × 222,344
  4. Step 4: Simplify right side
    410,760x = 126,035,429,587.20
  5. Step 5: Solve for x
    x = 126,035,429,587.20/410,760
  6. Step 6: Final answer
    x = 306,834.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.