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Finding the Fourth Proportional to 262,586.64, 362,370.60 and 149,406.96

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Solution

The fourth proportional to 262,586.64, 362,370.60 and 149,406.96 is: 206,182.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,586.64 : 362,370.60 = 149,406.96 : x
  2. Step 2: Convert to fraction form
    262,586.64/362,370.60 = 149,406.96/x
  3. Step 3: Cross multiply
    262,586.64x = 362,370.60 × 149,406.96
  4. Step 4: Simplify right side
    262,586.64x = 54,140,689,739.38
  5. Step 5: Solve for x
    x = 54,140,689,739.38/262,586.64
  6. Step 6: Final answer
    x = 206,182.19

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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.