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Finding the Fourth Proportional to 382,475.40, 572,546.70 and 224,233.80

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Solution

The fourth proportional to 382,475.40, 572,546.70 and 224,233.80 is: 335,666.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,475.40 : 572,546.70 = 224,233.80 : x
  2. Step 2: Convert to fraction form
    382,475.40/572,546.70 = 224,233.80/x
  3. Step 3: Cross multiply
    382,475.40x = 572,546.70 × 224,233.80
  4. Step 4: Simplify right side
    382,475.40x = 128,384,322,218.46
  5. Step 5: Solve for x
    x = 128,384,322,218.46/382,475.40
  6. Step 6: Final answer
    x = 335,666.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.