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Finding the Fourth Proportional to 257,293.76, 354,797.70 and 203,493.56

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Solution

The fourth proportional to 257,293.76, 354,797.70 and 203,493.56 is: 280,609.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,293.76 : 354,797.70 = 203,493.56 : x
  2. Step 2: Convert to fraction form
    257,293.76/354,797.70 = 203,493.56/x
  3. Step 3: Cross multiply
    257,293.76x = 354,797.70 × 203,493.56
  4. Step 4: Simplify right side
    257,293.76x = 72,199,047,052.81
  5. Step 5: Solve for x
    x = 72,199,047,052.81/257,293.76
  6. Step 6: Final answer
    x = 280,609.40

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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.