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Finding the Fourth Proportional to 351,946.40, 527,228.40 and 327,063.20

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Solution

The fourth proportional to 351,946.40, 527,228.40 and 327,063.20 is: 489,952.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,946.40 : 527,228.40 = 327,063.20 : x
  2. Step 2: Convert to fraction form
    351,946.40/527,228.40 = 327,063.20/x
  3. Step 3: Cross multiply
    351,946.40x = 527,228.40 × 327,063.20
  4. Step 4: Simplify right side
    351,946.40x = 172,437,007,634.88
  5. Step 5: Solve for x
    x = 172,437,007,634.88/351,946.40
  6. Step 6: Final answer
    x = 489,952.47

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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.