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Finding the Fourth Proportional to 417,623.25, 576,320.49 and 226,636.68

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Solution

The fourth proportional to 417,623.25, 576,320.49 and 226,636.68 is: 312,758.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,623.25 : 576,320.49 = 226,636.68 : x
  2. Step 2: Convert to fraction form
    417,623.25/576,320.49 = 226,636.68/x
  3. Step 3: Cross multiply
    417,623.25x = 576,320.49 × 226,636.68
  4. Step 4: Simplify right side
    417,623.25x = 130,615,362,469.57
  5. Step 5: Solve for x
    x = 130,615,362,469.57/417,623.25
  6. Step 6: Final answer
    x = 312,758.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.