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Finding the Fourth Proportional to 260,432.68, 359,404.68 and 147,253

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Solution

The fourth proportional to 260,432.68, 359,404.68 and 147,253 is: 203,213.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,432.68 : 359,404.68 = 147,253 : x
  2. Step 2: Convert to fraction form
    260,432.68/359,404.68 = 147,253/x
  3. Step 3: Cross multiply
    260,432.68x = 359,404.68 × 147,253
  4. Step 4: Simplify right side
    260,432.68x = 52,923,417,344.04
  5. Step 5: Solve for x
    x = 52,923,417,344.04/260,432.68
  6. Step 6: Final answer
    x = 203,213.43

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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.