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Finding the Fourth Proportional to 382,833.64, 528,191.70 and 217,234.60

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Solution

The fourth proportional to 382,833.64, 528,191.70 and 217,234.60 is: 299,716.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,833.64 : 528,191.70 = 217,234.60 : x
  2. Step 2: Convert to fraction form
    382,833.64/528,191.70 = 217,234.60/x
  3. Step 3: Cross multiply
    382,833.64x = 528,191.70 × 217,234.60
  4. Step 4: Simplify right side
    382,833.64x = 114,741,512,672.82
  5. Step 5: Solve for x
    x = 114,741,512,672.82/382,833.64
  6. Step 6: Final answer
    x = 299,716.38

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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.