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Finding the Fourth Proportional to 410,215.93, 566,126.40 and 228,963.22

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Solution

The fourth proportional to 410,215.93, 566,126.40 and 228,963.22 is: 315,985.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,215.93 : 566,126.40 = 228,963.22 : x
  2. Step 2: Convert to fraction form
    410,215.93/566,126.40 = 228,963.22/x
  3. Step 3: Cross multiply
    410,215.93x = 566,126.40 × 228,963.22
  4. Step 4: Simplify right side
    410,215.93x = 129,622,123,471.01
  5. Step 5: Solve for x
    x = 129,622,123,471.01/410,215.93
  6. Step 6: Final answer
    x = 315,985.10

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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.