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Finding the Fourth Proportional to 297,693.76, 410,823.84 and 163,566.40

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Solution

The fourth proportional to 297,693.76, 410,823.84 and 163,566.40 is: 225,725.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,693.76 : 410,823.84 = 163,566.40 : x
  2. Step 2: Convert to fraction form
    297,693.76/410,823.84 = 163,566.40/x
  3. Step 3: Cross multiply
    297,693.76x = 410,823.84 × 163,566.40
  4. Step 4: Simplify right side
    297,693.76x = 67,196,976,542.98
  5. Step 5: Solve for x
    x = 67,196,976,542.98/297,693.76
  6. Step 6: Final answer
    x = 225,725.18

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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.