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Finding the Fourth Proportional to 382,372.54, 527,680.20 and 210,298.04

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Solution

The fourth proportional to 382,372.54, 527,680.20 and 210,298.04 is: 290,214.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,372.54 : 527,680.20 = 210,298.04 : x
  2. Step 2: Convert to fraction form
    382,372.54/527,680.20 = 210,298.04/x
  3. Step 3: Cross multiply
    382,372.54x = 527,680.20 × 210,298.04
  4. Step 4: Simplify right side
    382,372.54x = 110,970,111,806.81
  5. Step 5: Solve for x
    x = 110,970,111,806.81/382,372.54
  6. Step 6: Final answer
    x = 290,214.65

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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.