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Finding the Fourth Proportional to 417,688.70, 576,410.97 and 226,702.04

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Solution

The fourth proportional to 417,688.70, 576,410.97 and 226,702.04 is: 312,849.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,688.70 : 576,410.97 = 226,702.04 : x
  2. Step 2: Convert to fraction form
    417,688.70/576,410.97 = 226,702.04/x
  3. Step 3: Cross multiply
    417,688.70x = 576,410.97 × 226,702.04
  4. Step 4: Simplify right side
    417,688.70x = 130,673,542,210.62
  5. Step 5: Solve for x
    x = 130,673,542,210.62/417,688.70
  6. Step 6: Final answer
    x = 312,849.12

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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.