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Finding the Fourth Proportional to 284,217.84, 392,233.32 and 163,398.24

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Solution

The fourth proportional to 284,217.84, 392,233.32 and 163,398.24 is: 225,496.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,217.84 : 392,233.32 = 163,398.24 : x
  2. Step 2: Convert to fraction form
    284,217.84/392,233.32 = 163,398.24/x
  3. Step 3: Cross multiply
    284,217.84x = 392,233.32 × 163,398.24
  4. Step 4: Simplify right side
    284,217.84x = 64,090,234,157.36
  5. Step 5: Solve for x
    x = 64,090,234,157.36/284,217.84
  6. Step 6: Final answer
    x = 225,496.87

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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.