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Finding the Fourth Proportional to 417,720.90, 576,439.38 and 226,730.22

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Solution

The fourth proportional to 417,720.90, 576,439.38 and 226,730.22 is: 312,879.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,720.90 : 576,439.38 = 226,730.22 : x
  2. Step 2: Convert to fraction form
    417,720.90/576,439.38 = 226,730.22/x
  3. Step 3: Cross multiply
    417,720.90x = 576,439.38 × 226,730.22
  4. Step 4: Simplify right side
    417,720.90x = 130,696,227,444.06
  5. Step 5: Solve for x
    x = 130,696,227,444.06/417,720.90
  6. Step 6: Final answer
    x = 312,879.31

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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.