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Finding the Fourth Proportional to 382,294.40, 573,247.20 and 224,571.20

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Solution

The fourth proportional to 382,294.40, 573,247.20 and 224,571.20 is: 336,742.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,294.40 : 573,247.20 = 224,571.20 : x
  2. Step 2: Convert to fraction form
    382,294.40/573,247.20 = 224,571.20/x
  3. Step 3: Cross multiply
    382,294.40x = 573,247.20 × 224,571.20
  4. Step 4: Simplify right side
    382,294.40x = 128,734,811,600.64
  5. Step 5: Solve for x
    x = 128,734,811,600.64/382,294.40
  6. Step 6: Final answer
    x = 336,742.60

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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.