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Finding the Fourth Proportional to 702,414.32, 969,331.64 and 380,124.41

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Solution

The fourth proportional to 702,414.32, 969,331.64 and 380,124.41 is: 524,571.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,414.32 : 969,331.64 = 380,124.41 : x
  2. Step 2: Convert to fraction form
    702,414.32/969,331.64 = 380,124.41/x
  3. Step 3: Cross multiply
    702,414.32x = 969,331.64 × 380,124.41
  4. Step 4: Simplify right side
    702,414.32x = 368,466,611,002.05
  5. Step 5: Solve for x
    x = 368,466,611,002.05/702,414.32
  6. Step 6: Final answer
    x = 524,571.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.