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Finding the Fourth Proportional to 284,311.14, 392,344.22 and 156,984

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Solution

The fourth proportional to 284,311.14, 392,344.22 and 156,984 is: 216,635.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,311.14 : 392,344.22 = 156,984 : x
  2. Step 2: Convert to fraction form
    284,311.14/392,344.22 = 156,984/x
  3. Step 3: Cross multiply
    284,311.14x = 392,344.22 × 156,984
  4. Step 4: Simplify right side
    284,311.14x = 61,591,765,032.48
  5. Step 5: Solve for x
    x = 61,591,765,032.48/284,311.14
  6. Step 6: Final answer
    x = 216,635.07

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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.