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Finding the Fourth Proportional to 308,941.70, 463,412.55 and 109,487.30

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Solution

The fourth proportional to 308,941.70, 463,412.55 and 109,487.30 is: 164,230.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,941.70 : 463,412.55 = 109,487.30 : x
  2. Step 2: Convert to fraction form
    308,941.70/463,412.55 = 109,487.30/x
  3. Step 3: Cross multiply
    308,941.70x = 463,412.55 × 109,487.30
  4. Step 4: Simplify right side
    308,941.70x = 50,737,788,885.62
  5. Step 5: Solve for x
    x = 50,737,788,885.62/308,941.70
  6. Step 6: Final answer
    x = 164,230.95

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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.