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Finding the Fourth Proportional to 381,322.47, 525,214.85 and 284,215.13

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Solution

The fourth proportional to 381,322.47, 525,214.85 and 284,215.13 is: 391,463.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,322.47 : 525,214.85 = 284,215.13 : x
  2. Step 2: Convert to fraction form
    381,322.47/525,214.85 = 284,215.13/x
  3. Step 3: Cross multiply
    381,322.47x = 525,214.85 × 284,215.13
  4. Step 4: Simplify right side
    381,322.47x = 149,274,002,823.53
  5. Step 5: Solve for x
    x = 149,274,002,823.53/381,322.47
  6. Step 6: Final answer
    x = 391,463.96

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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.