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Finding the Fourth Proportional to 412,542.06, 569,309.34 and 228,793.74

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Solution

The fourth proportional to 412,542.06, 569,309.34 and 228,793.74 is: 315,736.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,542.06 : 569,309.34 = 228,793.74 : x
  2. Step 2: Convert to fraction form
    412,542.06/569,309.34 = 228,793.74/x
  3. Step 3: Cross multiply
    412,542.06x = 569,309.34 × 228,793.74
  4. Step 4: Simplify right side
    412,542.06x = 130,254,413,115.53
  5. Step 5: Solve for x
    x = 130,254,413,115.53/412,542.06
  6. Step 6: Final answer
    x = 315,736.08

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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.