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Finding the Fourth Proportional to 256,232.70, 384,737.85 and 197,135.10

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Solution

The fourth proportional to 256,232.70, 384,737.85 and 197,135.10 is: 296,001.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,232.70 : 384,737.85 = 197,135.10 : x
  2. Step 2: Convert to fraction form
    256,232.70/384,737.85 = 197,135.10/x
  3. Step 3: Cross multiply
    256,232.70x = 384,737.85 × 197,135.10
  4. Step 4: Simplify right side
    256,232.70x = 75,845,334,533.54
  5. Step 5: Solve for x
    x = 75,845,334,533.54/256,232.70
  6. Step 6: Final answer
    x = 296,001.78

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1.5x scale

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.