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Finding the Fourth Proportional to 377,412.60, 566,202.06 and 164,214

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Solution

The fourth proportional to 377,412.60, 566,202.06 and 164,214 is: 246,357.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,412.60 : 566,202.06 = 164,214 : x
  2. Step 2: Convert to fraction form
    377,412.60/566,202.06 = 164,214/x
  3. Step 3: Cross multiply
    377,412.60x = 566,202.06 × 164,214
  4. Step 4: Simplify right side
    377,412.60x = 92,978,305,080.84
  5. Step 5: Solve for x
    x = 92,978,305,080.84/377,412.60
  6. Step 6: Final answer
    x = 246,357.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.