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Finding the Fourth Proportional to 308,767.24, 463,575.90 and 157,067.02

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Solution

The fourth proportional to 308,767.24, 463,575.90 and 157,067.02 is: 235,816.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,767.24 : 463,575.90 = 157,067.02 : x
  2. Step 2: Convert to fraction form
    308,767.24/463,575.90 = 157,067.02/x
  3. Step 3: Cross multiply
    308,767.24x = 463,575.90 × 157,067.02
  4. Step 4: Simplify right side
    308,767.24x = 72,812,485,156.82
  5. Step 5: Solve for x
    x = 72,812,485,156.82/308,767.24
  6. Step 6: Final answer
    x = 235,816.74

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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.