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Finding the Fourth Proportional to 417,701.54, 576,426.66 and 226,714.93

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Solution

The fourth proportional to 417,701.54, 576,426.66 and 226,714.93 is: 312,865.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,701.54 : 576,426.66 = 226,714.93 : x
  2. Step 2: Convert to fraction form
    417,701.54/576,426.66 = 226,714.93/x
  3. Step 3: Cross multiply
    417,701.54x = 576,426.66 × 226,714.93
  4. Step 4: Simplify right side
    417,701.54x = 130,684,529,872.03
  5. Step 5: Solve for x
    x = 130,684,529,872.03/417,701.54
  6. Step 6: Final answer
    x = 312,865.81

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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.