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Finding the Fourth Proportional to 382,254.24, 527,510.16 and 212,487.84

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Solution

The fourth proportional to 382,254.24, 527,510.16 and 212,487.84 is: 293,232.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,254.24 : 527,510.16 = 212,487.84 : x
  2. Step 2: Convert to fraction form
    382,254.24/527,510.16 = 212,487.84/x
  3. Step 3: Cross multiply
    382,254.24x = 527,510.16 × 212,487.84
  4. Step 4: Simplify right side
    382,254.24x = 112,089,494,476.45
  5. Step 5: Solve for x
    x = 112,089,494,476.45/382,254.24
  6. Step 6: Final answer
    x = 293,232.83

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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.