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Finding the Fourth Proportional to 417,712.20, 576,427.40 and 226,721.49

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Solution

The fourth proportional to 417,712.20, 576,427.40 and 226,721.49 is: 312,867.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,712.20 : 576,427.40 = 226,721.49 : x
  2. Step 2: Convert to fraction form
    417,712.20/576,427.40 = 226,721.49/x
  3. Step 3: Cross multiply
    417,712.20x = 576,427.40 × 226,721.49
  4. Step 4: Simplify right side
    417,712.20x = 130,688,479,004.83
  5. Step 5: Solve for x
    x = 130,688,479,004.83/417,712.20
  6. Step 6: Final answer
    x = 312,867.28

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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.