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Finding the Fourth Proportional to 219,076.50, 328,614.78 and 52,864.50

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Solution

The fourth proportional to 219,076.50, 328,614.78 and 52,864.50 is: 79,296.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,076.50 : 328,614.78 = 52,864.50 : x
  2. Step 2: Convert to fraction form
    219,076.50/328,614.78 = 52,864.50/x
  3. Step 3: Cross multiply
    219,076.50x = 328,614.78 × 52,864.50
  4. Step 4: Simplify right side
    219,076.50x = 17,372,056,037.31
  5. Step 5: Solve for x
    x = 17,372,056,037.31/219,076.50
  6. Step 6: Final answer
    x = 79,296.76

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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.