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Finding the Fourth Proportional to 408,783.60, 564,117.21 and 227,492.44

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Solution

The fourth proportional to 408,783.60, 564,117.21 and 227,492.44 is: 313,937.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,783.60 : 564,117.21 = 227,492.44 : x
  2. Step 2: Convert to fraction form
    408,783.60/564,117.21 = 227,492.44/x
  3. Step 3: Cross multiply
    408,783.60x = 564,117.21 × 227,492.44
  4. Step 4: Simplify right side
    408,783.60x = 128,332,399,138.60
  5. Step 5: Solve for x
    x = 128,332,399,138.60/408,783.60
  6. Step 6: Final answer
    x = 313,937.25

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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.