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Finding the Fourth Proportional to 382,309.47, 527,589.12 and 210,238.53

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Solution

The fourth proportional to 382,309.47, 527,589.12 and 210,238.53 is: 290,130.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,309.47 : 527,589.12 = 210,238.53 : x
  2. Step 2: Convert to fraction form
    382,309.47/527,589.12 = 210,238.53/x
  3. Step 3: Cross multiply
    382,309.47x = 527,589.12 × 210,238.53
  4. Step 4: Simplify right side
    382,309.47x = 110,919,561,032.79
  5. Step 5: Solve for x
    x = 110,919,561,032.79/382,309.47
  6. Step 6: Final answer
    x = 290,130.30

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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.