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Finding the Fourth Proportional to 410,624, 566,661.12 and 222,208

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Solution

The fourth proportional to 410,624, 566,661.12 and 222,208 is: 306,647.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,624 : 566,661.12 = 222,208 : x
  2. Step 2: Convert to fraction form
    410,624/566,661.12 = 222,208/x
  3. Step 3: Cross multiply
    410,624x = 566,661.12 × 222,208
  4. Step 4: Simplify right side
    410,624x = 125,916,634,152.96
  5. Step 5: Solve for x
    x = 125,916,634,152.96/410,624
  6. Step 6: Final answer
    x = 306,647.04

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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.