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Finding the Fourth Proportional to 394,005.72, 543,592.98 and 224,197.32

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Solution

The fourth proportional to 394,005.72, 543,592.98 and 224,197.32 is: 309,315.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,005.72 : 543,592.98 = 224,197.32 : x
  2. Step 2: Convert to fraction form
    394,005.72/543,592.98 = 224,197.32/x
  3. Step 3: Cross multiply
    394,005.72x = 543,592.98 × 224,197.32
  4. Step 4: Simplify right side
    394,005.72x = 121,872,089,286.81
  5. Step 5: Solve for x
    x = 121,872,089,286.81/394,005.72
  6. Step 6: Final answer
    x = 309,315.53

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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.