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Finding the Fourth Proportional to 382,408.12, 527,701.53 and 212,638.60

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Solution

The fourth proportional to 382,408.12, 527,701.53 and 212,638.60 is: 293,429.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,408.12 : 527,701.53 = 212,638.60 : x
  2. Step 2: Convert to fraction form
    382,408.12/527,701.53 = 212,638.60/x
  3. Step 3: Cross multiply
    382,408.12x = 527,701.53 × 212,638.60
  4. Step 4: Simplify right side
    382,408.12x = 112,209,714,557.06
  5. Step 5: Solve for x
    x = 112,209,714,557.06/382,408.12
  6. Step 6: Final answer
    x = 293,429.22

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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.