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Finding the Fourth Proportional to 493,105, 739,708.48 and 156,191.52

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Solution

The fourth proportional to 493,105, 739,708.48 and 156,191.52 is: 234,303.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,105 : 739,708.48 = 156,191.52 : x
  2. Step 2: Convert to fraction form
    493,105/739,708.48 = 156,191.52/x
  3. Step 3: Cross multiply
    493,105x = 739,708.48 × 156,191.52
  4. Step 4: Simplify right side
    493,105x = 115,536,191,848.09
  5. Step 5: Solve for x
    x = 115,536,191,848.09/493,105
  6. Step 6: Final answer
    x = 234,303.43

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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.