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Finding the Fourth Proportional to 410,206.34, 566,083.62 and 228,916.34

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Solution

The fourth proportional to 410,206.34, 566,083.62 and 228,916.34 is: 315,903.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,206.34 : 566,083.62 = 228,916.34 : x
  2. Step 2: Convert to fraction form
    410,206.34/566,083.62 = 228,916.34/x
  3. Step 3: Cross multiply
    410,206.34x = 566,083.62 × 228,916.34
  4. Step 4: Simplify right side
    410,206.34x = 129,585,790,424.35
  5. Step 5: Solve for x
    x = 129,585,790,424.35/410,206.34
  6. Step 6: Final answer
    x = 315,903.92

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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.