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Finding the Fourth Proportional to 489,414.18, 734,033.78 and 311,392.38

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Solution

The fourth proportional to 489,414.18, 734,033.78 and 311,392.38 is: 467,032.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,414.18 : 734,033.78 = 311,392.38 : x
  2. Step 2: Convert to fraction form
    489,414.18/734,033.78 = 311,392.38/x
  3. Step 3: Cross multiply
    489,414.18x = 734,033.78 × 311,392.38
  4. Step 4: Simplify right side
    489,414.18x = 228,572,525,754.60
  5. Step 5: Solve for x
    x = 228,572,525,754.60/489,414.18
  6. Step 6: Final answer
    x = 467,032.90

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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.