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Finding the Fourth Proportional to 382,472.40, 573,514.20 and 224,749.20

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Solution

The fourth proportional to 382,472.40, 573,514.20 and 224,749.20 is: 337,009.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,472.40 : 573,514.20 = 224,749.20 : x
  2. Step 2: Convert to fraction form
    382,472.40/573,514.20 = 224,749.20/x
  3. Step 3: Cross multiply
    382,472.40x = 573,514.20 × 224,749.20
  4. Step 4: Simplify right side
    382,472.40x = 128,896,857,638.64
  5. Step 5: Solve for x
    x = 128,896,857,638.64/382,472.40
  6. Step 6: Final answer
    x = 337,009.57

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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.