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Finding the Fourth Proportional to 564,367.24, 846,499.02 and 190,393.48

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Solution

The fourth proportional to 564,367.24, 846,499.02 and 190,393.48 is: 285,572.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,367.24 : 846,499.02 = 190,393.48 : x
  2. Step 2: Convert to fraction form
    564,367.24/846,499.02 = 190,393.48/x
  3. Step 3: Cross multiply
    564,367.24x = 846,499.02 × 190,393.48
  4. Step 4: Simplify right side
    564,367.24x = 161,167,894,234.39
  5. Step 5: Solve for x
    x = 161,167,894,234.39/564,367.24
  6. Step 6: Final answer
    x = 285,572.73

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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.