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Finding the Fourth Proportional to 285,146.40, 393,520.30 and 164,285.49

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Solution

The fourth proportional to 285,146.40, 393,520.30 and 164,285.49 is: 226,724.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,146.40 : 393,520.30 = 164,285.49 : x
  2. Step 2: Convert to fraction form
    285,146.40/393,520.30 = 164,285.49/x
  3. Step 3: Cross multiply
    285,146.40x = 393,520.30 × 164,285.49
  4. Step 4: Simplify right side
    285,146.40x = 64,649,675,310.45
  5. Step 5: Solve for x
    x = 64,649,675,310.45/285,146.40
  6. Step 6: Final answer
    x = 226,724.50

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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.