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Finding the Fourth Proportional to 297,541.16, 410,616.26 and 163,405.16

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Solution

The fourth proportional to 297,541.16, 410,616.26 and 163,405.16 is: 225,504.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,541.16 : 410,616.26 = 163,405.16 : x
  2. Step 2: Convert to fraction form
    297,541.16/410,616.26 = 163,405.16/x
  3. Step 3: Cross multiply
    297,541.16x = 410,616.26 × 163,405.16
  4. Step 4: Simplify right side
    297,541.16x = 67,096,815,663.90
  5. Step 5: Solve for x
    x = 67,096,815,663.90/297,541.16
  6. Step 6: Final answer
    x = 225,504.32

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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.