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Finding the Fourth Proportional to 380,476.89, 523,863.08 and 322,997.06

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Solution

The fourth proportional to 380,476.89, 523,863.08 and 322,997.06 is: 444,721.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,476.89 : 523,863.08 = 322,997.06 : x
  2. Step 2: Convert to fraction form
    380,476.89/523,863.08 = 322,997.06/x
  3. Step 3: Cross multiply
    380,476.89x = 523,863.08 × 322,997.06
  4. Step 4: Simplify right side
    380,476.89x = 169,206,235,588.46
  5. Step 5: Solve for x
    x = 169,206,235,588.46/380,476.89
  6. Step 6: Final answer
    x = 444,721.45

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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.