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Finding the Fourth Proportional to 262,544.64, 362,286.72 and 161,923.20

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Solution

The fourth proportional to 262,544.64, 362,286.72 and 161,923.20 is: 223,438.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,544.64 : 362,286.72 = 161,923.20 : x
  2. Step 2: Convert to fraction form
    262,544.64/362,286.72 = 161,923.20/x
  3. Step 3: Cross multiply
    262,544.64x = 362,286.72 × 161,923.20
  4. Step 4: Simplify right side
    262,544.64x = 58,662,625,019.90
  5. Step 5: Solve for x
    x = 58,662,625,019.90/262,544.64
  6. Step 6: Final answer
    x = 223,438.67

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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.