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Finding the Fourth Proportional to 328,181.70, 492,272.55 and 187,824.90

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Solution

The fourth proportional to 328,181.70, 492,272.55 and 187,824.90 is: 281,737.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,181.70 : 492,272.55 = 187,824.90 : x
  2. Step 2: Convert to fraction form
    328,181.70/492,272.55 = 187,824.90/x
  3. Step 3: Cross multiply
    328,181.70x = 492,272.55 × 187,824.90
  4. Step 4: Simplify right side
    328,181.70x = 92,461,042,476.50
  5. Step 5: Solve for x
    x = 92,461,042,476.50/328,181.70
  6. Step 6: Final answer
    x = 281,737.35

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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.