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Finding the Fourth Proportional to 564,195.52, 846,296.16 and 190,221.76

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Solution

The fourth proportional to 564,195.52, 846,296.16 and 190,221.76 is: 285,333.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,195.52 : 846,296.16 = 190,221.76 : x
  2. Step 2: Convert to fraction form
    564,195.52/846,296.16 = 190,221.76/x
  3. Step 3: Cross multiply
    564,195.52x = 846,296.16 × 190,221.76
  4. Step 4: Simplify right side
    564,195.52x = 160,983,945,036.44
  5. Step 5: Solve for x
    x = 160,983,945,036.44/564,195.52
  6. Step 6: Final answer
    x = 285,333.61

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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.