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Finding the Fourth Proportional to 218,896.76, 328,345.20 and 52,684.76

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Solution

The fourth proportional to 218,896.76, 328,345.20 and 52,684.76 is: 79,027.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,896.76 : 328,345.20 = 52,684.76 : x
  2. Step 2: Convert to fraction form
    218,896.76/328,345.20 = 52,684.76/x
  3. Step 3: Cross multiply
    218,896.76x = 328,345.20 × 52,684.76
  4. Step 4: Simplify right side
    218,896.76x = 17,298,788,059.15
  5. Step 5: Solve for x
    x = 17,298,788,059.15/218,896.76
  6. Step 6: Final answer
    x = 79,027.15

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Why These Related Problems?

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