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Finding the Fourth Proportional to 417,688.51, 576,410.71 and 226,701.85

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Solution

The fourth proportional to 417,688.51, 576,410.71 and 226,701.85 is: 312,848.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,688.51 : 576,410.71 = 226,701.85 : x
  2. Step 2: Convert to fraction form
    417,688.51/576,410.71 = 226,701.85/x
  3. Step 3: Cross multiply
    417,688.51x = 576,410.71 × 226,701.85
  4. Step 4: Simplify right side
    417,688.51x = 130,673,375,474.46
  5. Step 5: Solve for x
    x = 130,673,375,474.46/417,688.51
  6. Step 6: Final answer
    x = 312,848.86

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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.