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Finding the Fourth Proportional to 382,340.56, 527,638.62 and 210,247.70

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Solution

The fourth proportional to 382,340.56, 527,638.62 and 210,247.70 is: 290,146.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,340.56 : 527,638.62 = 210,247.70 : x
  2. Step 2: Convert to fraction form
    382,340.56/527,638.62 = 210,247.70/x
  3. Step 3: Cross multiply
    382,340.56x = 527,638.62 × 210,247.70
  4. Step 4: Simplify right side
    382,340.56x = 110,934,806,286.17
  5. Step 5: Solve for x
    x = 110,934,806,286.17/382,340.56
  6. Step 6: Final answer
    x = 290,146.58

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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.