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Finding the Fourth Proportional to 384,023.30, 576,472.35 and 226,340.60

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Solution

The fourth proportional to 384,023.30, 576,472.35 and 226,340.60 is: 339,768.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,023.30 : 576,472.35 = 226,340.60 : x
  2. Step 2: Convert to fraction form
    384,023.30/576,472.35 = 226,340.60/x
  3. Step 3: Cross multiply
    384,023.30x = 576,472.35 × 226,340.60
  4. Step 4: Simplify right side
    384,023.30x = 130,479,097,582.41
  5. Step 5: Solve for x
    x = 130,479,097,582.41/384,023.30
  6. Step 6: Final answer
    x = 339,768.70

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