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Finding the Fourth Proportional to 640,419.70, 960,648.99 and 219,689.50

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Solution

The fourth proportional to 640,419.70, 960,648.99 and 219,689.50 is: 329,540.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,419.70 : 960,648.99 = 219,689.50 : x
  2. Step 2: Convert to fraction form
    640,419.70/960,648.99 = 219,689.50/x
  3. Step 3: Cross multiply
    640,419.70x = 960,648.99 × 219,689.50
  4. Step 4: Simplify right side
    640,419.70x = 211,044,496,288.61
  5. Step 5: Solve for x
    x = 211,044,496,288.61/640,419.70
  6. Step 6: Final answer
    x = 329,540.92

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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.