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Finding the Fourth Proportional to 328,224.80, 492,040.20 and 228,432.80

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Solution

The fourth proportional to 328,224.80, 492,040.20 and 228,432.80 is: 342,442.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,224.80 : 492,040.20 = 228,432.80 : x
  2. Step 2: Convert to fraction form
    328,224.80/492,040.20 = 228,432.80/x
  3. Step 3: Cross multiply
    328,224.80x = 492,040.20 × 228,432.80
  4. Step 4: Simplify right side
    328,224.80x = 112,398,120,598.56
  5. Step 5: Solve for x
    x = 112,398,120,598.56/328,224.80
  6. Step 6: Final answer
    x = 342,442.50

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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.