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Finding the Fourth Proportional to 262,709.28, 362,539.20 and 149,532

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Solution

The fourth proportional to 262,709.28, 362,539.20 and 149,532 is: 206,354.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,709.28 : 362,539.20 = 149,532 : x
  2. Step 2: Convert to fraction form
    262,709.28/362,539.20 = 149,532/x
  3. Step 3: Cross multiply
    262,709.28x = 362,539.20 × 149,532
  4. Step 4: Simplify right side
    262,709.28x = 54,211,211,654.40
  5. Step 5: Solve for x
    x = 54,211,211,654.40/262,709.28
  6. Step 6: Final answer
    x = 206,354.38

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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.