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Finding the Fourth Proportional to 408,224.44, 563,153.46 and 265,029.40

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Solution

The fourth proportional to 408,224.44, 563,153.46 and 265,029.40 is: 365,613.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,224.44 : 563,153.46 = 265,029.40 : x
  2. Step 2: Convert to fraction form
    408,224.44/563,153.46 = 265,029.40/x
  3. Step 3: Cross multiply
    408,224.44x = 563,153.46 × 265,029.40
  4. Step 4: Simplify right side
    408,224.44x = 149,252,223,611.72
  5. Step 5: Solve for x
    x = 149,252,223,611.72/408,224.44
  6. Step 6: Final answer
    x = 365,613.15

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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.