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Finding the Fourth Proportional to 417,722.80, 576,455.52 and 226,734.52

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Solution

The fourth proportional to 417,722.80, 576,455.52 and 226,734.52 is: 312,892.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,722.80 : 576,455.52 = 226,734.52 : x
  2. Step 2: Convert to fraction form
    417,722.80/576,455.52 = 226,734.52/x
  3. Step 3: Cross multiply
    417,722.80x = 576,455.52 × 226,734.52
  4. Step 4: Simplify right side
    417,722.80x = 130,702,365,628.55
  5. Step 5: Solve for x
    x = 130,702,365,628.55/417,722.80
  6. Step 6: Final answer
    x = 312,892.58

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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.