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Finding the Fourth Proportional to 410,221.14, 566,114.24 and 226,459.28

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Solution

The fourth proportional to 410,221.14, 566,114.24 and 226,459.28 is: 312,518.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,221.14 : 566,114.24 = 226,459.28 : x
  2. Step 2: Convert to fraction form
    410,221.14/566,114.24 = 226,459.28/x
  3. Step 3: Cross multiply
    410,221.14x = 566,114.24 × 226,459.28
  4. Step 4: Simplify right side
    410,221.14x = 128,201,823,188.15
  5. Step 5: Solve for x
    x = 128,201,823,188.15/410,221.14
  6. Step 6: Final answer
    x = 312,518.81

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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.