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Finding the Fourth Proportional to 299,258.80, 412,920.57 and 178,411.24

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Solution

The fourth proportional to 299,258.80, 412,920.57 and 178,411.24 is: 246,173.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,258.80 : 412,920.57 = 178,411.24 : x
  2. Step 2: Convert to fraction form
    299,258.80/412,920.57 = 178,411.24/x
  3. Step 3: Cross multiply
    299,258.80x = 412,920.57 × 178,411.24
  4. Step 4: Simplify right side
    299,258.80x = 73,669,670,915.21
  5. Step 5: Solve for x
    x = 73,669,670,915.21/299,258.80
  6. Step 6: Final answer
    x = 246,173.78

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1.5x scale

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.