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Finding the Fourth Proportional to 297,696.50, 410,827.65 and 163,560.50

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Solution

The fourth proportional to 297,696.50, 410,827.65 and 163,560.50 is: 225,717.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,696.50 : 410,827.65 = 163,560.50 : x
  2. Step 2: Convert to fraction form
    297,696.50/410,827.65 = 163,560.50/x
  3. Step 3: Cross multiply
    297,696.50x = 410,827.65 × 163,560.50
  4. Step 4: Simplify right side
    297,696.50x = 67,195,175,847.83
  5. Step 5: Solve for x
    x = 67,195,175,847.83/297,696.50
  6. Step 6: Final answer
    x = 225,717.05

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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.