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Finding the Fourth Proportional to 308,575.01, 462,832.54 and 209,372.69

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Solution

The fourth proportional to 308,575.01, 462,832.54 and 209,372.69 is: 314,038.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,575.01 : 462,832.54 = 209,372.69 : x
  2. Step 2: Convert to fraction form
    308,575.01/462,832.54 = 209,372.69/x
  3. Step 3: Cross multiply
    308,575.01x = 462,832.54 × 209,372.69
  4. Step 4: Simplify right side
    308,575.01x = 96,904,493,919.33
  5. Step 5: Solve for x
    x = 96,904,493,919.33/308,575.01
  6. Step 6: Final answer
    x = 314,038.70

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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.