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Finding the Fourth Proportional to 284,100.40, 392,077.56 and 163,280.80

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Solution

The fourth proportional to 284,100.40, 392,077.56 and 163,280.80 is: 225,338.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,100.40 : 392,077.56 = 163,280.80 : x
  2. Step 2: Convert to fraction form
    284,100.40/392,077.56 = 163,280.80/x
  3. Step 3: Cross multiply
    284,100.40x = 392,077.56 × 163,280.80
  4. Step 4: Simplify right side
    284,100.40x = 64,018,737,658.85
  5. Step 5: Solve for x
    x = 64,018,737,658.85/284,100.40
  6. Step 6: Final answer
    x = 225,338.43

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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.