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Finding the Fourth Proportional to 410,212.33, 566,121.45 and 228,959.58

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Solution

The fourth proportional to 410,212.33, 566,121.45 and 228,959.58 is: 315,980.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,212.33 : 566,121.45 = 228,959.58 : x
  2. Step 2: Convert to fraction form
    410,212.33/566,121.45 = 228,959.58/x
  3. Step 3: Cross multiply
    410,212.33x = 566,121.45 × 228,959.58
  4. Step 4: Simplify right side
    410,212.33x = 129,618,929,420.99
  5. Step 5: Solve for x
    x = 129,618,929,420.99/410,212.33
  6. Step 6: Final answer
    x = 315,980.09

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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.