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Finding the Fourth Proportional to 409,787.94, 565,514.34 and 226,047.60

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Solution

The fourth proportional to 409,787.94, 565,514.34 and 226,047.60 is: 311,949.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,787.94 : 565,514.34 = 226,047.60 : x
  2. Step 2: Convert to fraction form
    409,787.94/565,514.34 = 226,047.60/x
  3. Step 3: Cross multiply
    409,787.94x = 565,514.34 × 226,047.60
  4. Step 4: Simplify right side
    409,787.94x = 127,833,159,322.58
  5. Step 5: Solve for x
    x = 127,833,159,322.58/409,787.94
  6. Step 6: Final answer
    x = 311,949.54

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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.