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Finding the Fourth Proportional to 564,508.44, 846,237.78 and 190,269

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Solution

The fourth proportional to 564,508.44, 846,237.78 and 190,269 is: 285,226.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,508.44 : 846,237.78 = 190,269 : x
  2. Step 2: Convert to fraction form
    564,508.44/846,237.78 = 190,269/x
  3. Step 3: Cross multiply
    564,508.44x = 846,237.78 × 190,269
  4. Step 4: Simplify right side
    564,508.44x = 161,012,816,162.82
  5. Step 5: Solve for x
    x = 161,012,816,162.82/564,508.44
  6. Step 6: Final answer
    x = 285,226.59

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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.