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Finding the Fourth Proportional to 382,525.31, 527,877.57 and 210,433.22

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Solution

The fourth proportional to 382,525.31, 527,877.57 and 210,433.22 is: 290,393.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,525.31 : 527,877.57 = 210,433.22 : x
  2. Step 2: Convert to fraction form
    382,525.31/527,877.57 = 210,433.22/x
  3. Step 3: Cross multiply
    382,525.31x = 527,877.57 × 210,433.22
  4. Step 4: Simplify right side
    382,525.31x = 111,082,976,820.88
  5. Step 5: Solve for x
    x = 111,082,976,820.88/382,525.31
  6. Step 6: Final answer
    x = 290,393.80

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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.