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Finding the Fourth Proportional to 408,256.38, 563,395.99 and 224,506.79

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Solution

The fourth proportional to 408,256.38, 563,395.99 and 224,506.79 is: 309,820.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,256.38 : 563,395.99 = 224,506.79 : x
  2. Step 2: Convert to fraction form
    408,256.38/563,395.99 = 224,506.79/x
  3. Step 3: Cross multiply
    408,256.38x = 563,395.99 × 224,506.79
  4. Step 4: Simplify right side
    408,256.38x = 126,486,225,213.77
  5. Step 5: Solve for x
    x = 126,486,225,213.77/408,256.38
  6. Step 6: Final answer
    x = 309,820.57

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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.