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Finding the Fourth Proportional to 328,176.20, 492,264.30 and 187,819.40

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Solution

The fourth proportional to 328,176.20, 492,264.30 and 187,819.40 is: 281,729.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,176.20 : 492,264.30 = 187,819.40 : x
  2. Step 2: Convert to fraction form
    328,176.20/492,264.30 = 187,819.40/x
  3. Step 3: Cross multiply
    328,176.20x = 492,264.30 × 187,819.40
  4. Step 4: Simplify right side
    328,176.20x = 92,456,785,467.42
  5. Step 5: Solve for x
    x = 92,456,785,467.42/328,176.20
  6. Step 6: Final answer
    x = 281,729.10

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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.