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Finding the Fourth Proportional to 410,233.90, 566,121.57 and 228,943.90

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Solution

The fourth proportional to 410,233.90, 566,121.57 and 228,943.90 is: 315,941.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,233.90 : 566,121.57 = 228,943.90 : x
  2. Step 2: Convert to fraction form
    410,233.90/566,121.57 = 228,943.90/x
  3. Step 3: Cross multiply
    410,233.90x = 566,121.57 × 228,943.90
  4. Step 4: Simplify right side
    410,233.90x = 129,610,080,109.92
  5. Step 5: Solve for x
    x = 129,610,080,109.92/410,233.90
  6. Step 6: Final answer
    x = 315,941.91

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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.