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Finding the Fourth Proportional to 289,381.87, 399,349.78 and 160,323.09

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Solution

The fourth proportional to 289,381.87, 399,349.78 and 160,323.09 is: 221,247.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,381.87 : 399,349.78 = 160,323.09 : x
  2. Step 2: Convert to fraction form
    289,381.87/399,349.78 = 160,323.09/x
  3. Step 3: Cross multiply
    289,381.87x = 399,349.78 × 160,323.09
  4. Step 4: Simplify right side
    289,381.87x = 64,024,988,822.05
  5. Step 5: Solve for x
    x = 64,024,988,822.05/289,381.87
  6. Step 6: Final answer
    x = 221,247.41

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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.