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Finding the Fourth Proportional to 376,224.16, 519,108.24 and 217,156

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Solution

The fourth proportional to 376,224.16, 519,108.24 and 217,156 is: 299,628.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,224.16 : 519,108.24 = 217,156 : x
  2. Step 2: Convert to fraction form
    376,224.16/519,108.24 = 217,156/x
  3. Step 3: Cross multiply
    376,224.16x = 519,108.24 × 217,156
  4. Step 4: Simplify right side
    376,224.16x = 112,727,468,965.44
  5. Step 5: Solve for x
    x = 112,727,468,965.44/376,224.16
  6. Step 6: Final answer
    x = 299,628.47

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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.