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Finding the Fourth Proportional to 382,467.40, 573,506.70 and 224,744.20

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Solution

The fourth proportional to 382,467.40, 573,506.70 and 224,744.20 is: 337,002.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,467.40 : 573,506.70 = 224,744.20 : x
  2. Step 2: Convert to fraction form
    382,467.40/573,506.70 = 224,744.20/x
  3. Step 3: Cross multiply
    382,467.40x = 573,506.70 × 224,744.20
  4. Step 4: Simplify right side
    382,467.40x = 128,892,304,486.14
  5. Step 5: Solve for x
    x = 128,892,304,486.14/382,467.40
  6. Step 6: Final answer
    x = 337,002.07

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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.