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Finding the Fourth Proportional to 386,077.60, 578,846.40 and 228,224.80

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Solution

The fourth proportional to 386,077.60, 578,846.40 and 228,224.80 is: 342,177.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,077.60 : 578,846.40 = 228,224.80 : x
  2. Step 2: Convert to fraction form
    386,077.60/578,846.40 = 228,224.80/x
  3. Step 3: Cross multiply
    386,077.60x = 578,846.40 × 228,224.80
  4. Step 4: Simplify right side
    386,077.60x = 132,107,103,870.72
  5. Step 5: Solve for x
    x = 132,107,103,870.72/386,077.60
  6. Step 6: Final answer
    x = 342,177.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.