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Finding the Fourth Proportional to 284,098.44, 392,122.95 and 163,309.80

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Solution

The fourth proportional to 284,098.44, 392,122.95 and 163,309.80 is: 225,406.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,098.44 : 392,122.95 = 163,309.80 : x
  2. Step 2: Convert to fraction form
    284,098.44/392,122.95 = 163,309.80/x
  3. Step 3: Cross multiply
    284,098.44x = 392,122.95 × 163,309.80
  4. Step 4: Simplify right side
    284,098.44x = 64,037,520,539.91
  5. Step 5: Solve for x
    x = 64,037,520,539.91/284,098.44
  6. Step 6: Final answer
    x = 225,406.10

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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.