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Finding the Fourth Proportional to 382,412.68, 527,742.28 and 210,337.90

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Solution

The fourth proportional to 382,412.68, 527,742.28 and 210,337.90 is: 290,273.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,412.68 : 527,742.28 = 210,337.90 : x
  2. Step 2: Convert to fraction form
    382,412.68/527,742.28 = 210,337.90/x
  3. Step 3: Cross multiply
    382,412.68x = 527,742.28 × 210,337.90
  4. Step 4: Simplify right side
    382,412.68x = 111,004,202,916.41
  5. Step 5: Solve for x
    x = 111,004,202,916.41/382,412.68
  6. Step 6: Final answer
    x = 290,273.33

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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.