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Finding the Fourth Proportional to 409,792.94, 565,521.24 and 226,052.60

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Solution

The fourth proportional to 409,792.94, 565,521.24 and 226,052.60 is: 311,956.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,792.94 : 565,521.24 = 226,052.60 : x
  2. Step 2: Convert to fraction form
    409,792.94/565,521.24 = 226,052.60/x
  3. Step 3: Cross multiply
    409,792.94x = 565,521.24 × 226,052.60
  4. Step 4: Simplify right side
    409,792.94x = 127,837,546,657.22
  5. Step 5: Solve for x
    x = 127,837,546,657.22/409,792.94
  6. Step 6: Final answer
    x = 311,956.44

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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.