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Finding the Fourth Proportional to 219,288, 328,984 and 71,544

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Solution

The fourth proportional to 219,288, 328,984 and 71,544 is: 107,332.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,288 : 328,984 = 71,544 : x
  2. Step 2: Convert to fraction form
    219,288/328,984 = 71,544/x
  3. Step 3: Cross multiply
    219,288x = 328,984 × 71,544
  4. Step 4: Simplify right side
    219,288x = 23,536,831,296
  5. Step 5: Solve for x
    x = 23,536,831,296/219,288
  6. Step 6: Final answer
    x = 107,332.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.