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Finding the Fourth Proportional to 356,487.42, 491,768.64 and 241,727.24

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Solution

The fourth proportional to 356,487.42, 491,768.64 and 241,727.24 is: 333,458.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,487.42 : 491,768.64 = 241,727.24 : x
  2. Step 2: Convert to fraction form
    356,487.42/491,768.64 = 241,727.24/x
  3. Step 3: Cross multiply
    356,487.42x = 491,768.64 × 241,727.24
  4. Step 4: Simplify right side
    356,487.42x = 118,873,876,065.75
  5. Step 5: Solve for x
    x = 118,873,876,065.75/356,487.42
  6. Step 6: Final answer
    x = 333,458.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.