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Finding the Fourth Proportional to 408,263.35, 563,405.62 and 224,513.77

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Solution

The fourth proportional to 408,263.35, 563,405.62 and 224,513.77 is: 309,830.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,263.35 : 563,405.62 = 224,513.77 : x
  2. Step 2: Convert to fraction form
    408,263.35/563,405.62 = 224,513.77/x
  3. Step 3: Cross multiply
    408,263.35x = 563,405.62 × 224,513.77
  4. Step 4: Simplify right side
    408,263.35x = 126,492,315,845.79
  5. Step 5: Solve for x
    x = 126,492,315,845.79/408,263.35
  6. Step 6: Final answer
    x = 309,830.20

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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.