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Finding the Fourth Proportional to 219,097.43, 328,646.15 and 52,885.43

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Solution

The fourth proportional to 219,097.43, 328,646.15 and 52,885.43 is: 79,328.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,097.43 : 328,646.15 = 52,885.43 : x
  2. Step 2: Convert to fraction form
    219,097.43/328,646.15 = 52,885.43/x
  3. Step 3: Cross multiply
    219,097.43x = 328,646.15 × 52,885.43
  4. Step 4: Simplify right side
    219,097.43x = 17,380,593,782.21
  5. Step 5: Solve for x
    x = 17,380,593,782.21/219,097.43
  6. Step 6: Final answer
    x = 79,328.15

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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.