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Finding the Fourth Proportional to 389,378.06, 537,340.65 and 217,294.23

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Solution

The fourth proportional to 389,378.06, 537,340.65 and 217,294.23 is: 299,865.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,378.06 : 537,340.65 = 217,294.23 : x
  2. Step 2: Convert to fraction form
    389,378.06/537,340.65 = 217,294.23/x
  3. Step 3: Cross multiply
    389,378.06x = 537,340.65 × 217,294.23
  4. Step 4: Simplify right side
    389,378.06x = 116,761,022,789.45
  5. Step 5: Solve for x
    x = 116,761,022,789.45/389,378.06
  6. Step 6: Final answer
    x = 299,865.44

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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.