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Finding the Fourth Proportional to 308,876.30, 463,614.05 and 149,064.70

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Solution

The fourth proportional to 308,876.30, 463,614.05 and 149,064.70 is: 223,741.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,876.30 : 463,614.05 = 149,064.70 : x
  2. Step 2: Convert to fraction form
    308,876.30/463,614.05 = 149,064.70/x
  3. Step 3: Cross multiply
    308,876.30x = 463,614.05 × 149,064.70
  4. Step 4: Simplify right side
    308,876.30x = 69,108,489,279.04
  5. Step 5: Solve for x
    x = 69,108,489,279.04/308,876.30
  6. Step 6: Final answer
    x = 223,741.64

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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.