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Finding the Fourth Proportional to 297,686.37, 410,805.54 and 161,719.23

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Solution

The fourth proportional to 297,686.37, 410,805.54 and 161,719.23 is: 223,171.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,686.37 : 410,805.54 = 161,719.23 : x
  2. Step 2: Convert to fraction form
    297,686.37/410,805.54 = 161,719.23/x
  3. Step 3: Cross multiply
    297,686.37x = 410,805.54 × 161,719.23
  4. Step 4: Simplify right side
    297,686.37x = 66,435,155,608.53
  5. Step 5: Solve for x
    x = 66,435,155,608.53/297,686.37
  6. Step 6: Final answer
    x = 223,171.64

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1.5x scale

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.