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Finding the Fourth Proportional to 297,620.54, 410,719.36 and 161,657.15

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Solution

The fourth proportional to 297,620.54, 410,719.36 and 161,657.15 is: 223,088.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,620.54 : 410,719.36 = 161,657.15 : x
  2. Step 2: Convert to fraction form
    297,620.54/410,719.36 = 161,657.15/x
  3. Step 3: Cross multiply
    297,620.54x = 410,719.36 × 161,657.15
  4. Step 4: Simplify right side
    297,620.54x = 66,395,719,032.79
  5. Step 5: Solve for x
    x = 66,395,719,032.79/297,620.54
  6. Step 6: Final answer
    x = 223,088.50

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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.