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Finding the Fourth Proportional to 315,059.32, 434,536.14 and 201,892.60

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Solution

The fourth proportional to 315,059.32, 434,536.14 and 201,892.60 is: 278,454.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,059.32 : 434,536.14 = 201,892.60 : x
  2. Step 2: Convert to fraction form
    315,059.32/434,536.14 = 201,892.60/x
  3. Step 3: Cross multiply
    315,059.32x = 434,536.14 × 201,892.60
  4. Step 4: Simplify right side
    315,059.32x = 87,729,631,098.56
  5. Step 5: Solve for x
    x = 87,729,631,098.56/315,059.32
  6. Step 6: Final answer
    x = 278,454.33

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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.