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Finding the Fourth Proportional to 382,410.12, 527,704.29 and 212,640.60

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Solution

The fourth proportional to 382,410.12, 527,704.29 and 212,640.60 is: 293,431.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,410.12 : 527,704.29 = 212,640.60 : x
  2. Step 2: Convert to fraction form
    382,410.12/527,704.29 = 212,640.60/x
  3. Step 3: Cross multiply
    382,410.12x = 527,704.29 × 212,640.60
  4. Step 4: Simplify right side
    382,410.12x = 112,211,356,848.17
  5. Step 5: Solve for x
    x = 112,211,356,848.17/382,410.12
  6. Step 6: Final answer
    x = 293,431.98

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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.