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Finding the Fourth Proportional to 407,806.28, 562,757.14 and 226,529.90

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Solution

The fourth proportional to 407,806.28, 562,757.14 and 226,529.90 is: 312,602.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,806.28 : 562,757.14 = 226,529.90 : x
  2. Step 2: Convert to fraction form
    407,806.28/562,757.14 = 226,529.90/x
  3. Step 3: Cross multiply
    407,806.28x = 562,757.14 × 226,529.90
  4. Step 4: Simplify right side
    407,806.28x = 127,481,318,648.49
  5. Step 5: Solve for x
    x = 127,481,318,648.49/407,806.28
  6. Step 6: Final answer
    x = 312,602.64

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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.