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Finding the Fourth Proportional to 284,493.24, 392,599.86 and 163,657.80

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Solution

The fourth proportional to 284,493.24, 392,599.86 and 163,657.80 is: 225,847.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,493.24 : 392,599.86 = 163,657.80 : x
  2. Step 2: Convert to fraction form
    284,493.24/392,599.86 = 163,657.80/x
  3. Step 3: Cross multiply
    284,493.24x = 392,599.86 × 163,657.80
  4. Step 4: Simplify right side
    284,493.24x = 64,252,029,367.91
  5. Step 5: Solve for x
    x = 64,252,029,367.91/284,493.24
  6. Step 6: Final answer
    x = 225,847.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.