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Finding the Fourth Proportional to 586,229.82, 878,735.06 and 226,647.64

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Solution

The fourth proportional to 586,229.82, 878,735.06 and 226,647.64 is: 339,735.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,229.82 : 878,735.06 = 226,647.64 : x
  2. Step 2: Convert to fraction form
    586,229.82/878,735.06 = 226,647.64/x
  3. Step 3: Cross multiply
    586,229.82x = 878,735.06 × 226,647.64
  4. Step 4: Simplify right side
    586,229.82x = 199,163,223,406.48
  5. Step 5: Solve for x
    x = 199,163,223,406.48/586,229.82
  6. Step 6: Final answer
    x = 339,735.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.