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Finding the Fourth Proportional to 288,005.62, 397,457.30 and 157,190.42

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Solution

The fourth proportional to 288,005.62, 397,457.30 and 157,190.42 is: 216,927.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,005.62 : 397,457.30 = 157,190.42 : x
  2. Step 2: Convert to fraction form
    288,005.62/397,457.30 = 157,190.42/x
  3. Step 3: Cross multiply
    288,005.62x = 397,457.30 × 157,190.42
  4. Step 4: Simplify right side
    288,005.62x = 62,476,479,919.07
  5. Step 5: Solve for x
    x = 62,476,479,919.07/288,005.62
  6. Step 6: Final answer
    x = 216,927.99

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