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Finding the Fourth Proportional to 410,366.82, 616,231.05 and 253,591.74

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Solution

The fourth proportional to 410,366.82, 616,231.05 and 253,591.74 is: 380,808.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,366.82 : 616,231.05 = 253,591.74 : x
  2. Step 2: Convert to fraction form
    410,366.82/616,231.05 = 253,591.74/x
  3. Step 3: Cross multiply
    410,366.82x = 616,231.05 × 253,591.74
  4. Step 4: Simplify right side
    410,366.82x = 156,271,104,211.53
  5. Step 5: Solve for x
    x = 156,271,104,211.53/410,366.82
  6. Step 6: Final answer
    x = 380,808.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.