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Finding the Fourth Proportional to 417,725.60, 576,464.24 and 226,738.96

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Solution

The fourth proportional to 417,725.60, 576,464.24 and 226,738.96 is: 312,901.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,725.60 : 576,464.24 = 226,738.96 : x
  2. Step 2: Convert to fraction form
    417,725.60/576,464.24 = 226,738.96/x
  3. Step 3: Cross multiply
    417,725.60x = 576,464.24 × 226,738.96
  4. Step 4: Simplify right side
    417,725.60x = 130,706,902,254.79
  5. Step 5: Solve for x
    x = 130,706,902,254.79/417,725.60
  6. Step 6: Final answer
    x = 312,901.35

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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.