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Finding the Fourth Proportional to 377,793, 521,342.10 and 208,022.76

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Solution

The fourth proportional to 377,793, 521,342.10 and 208,022.76 is: 287,064.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,793 : 521,342.10 = 208,022.76 : x
  2. Step 2: Convert to fraction form
    377,793/521,342.10 = 208,022.76/x
  3. Step 3: Cross multiply
    377,793x = 521,342.10 × 208,022.76
  4. Step 4: Simplify right side
    377,793x = 108,451,022,546.20
  5. Step 5: Solve for x
    x = 108,451,022,546.20/377,793
  6. Step 6: Final answer
    x = 287,064.67

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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.