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Finding the Fourth Proportional to 384,521.35, 576,469.77 and 160,049.81

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Solution

The fourth proportional to 384,521.35, 576,469.77 and 160,049.81 is: 239,944.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,521.35 : 576,469.77 = 160,049.81 : x
  2. Step 2: Convert to fraction form
    384,521.35/576,469.77 = 160,049.81/x
  3. Step 3: Cross multiply
    384,521.35x = 576,469.77 × 160,049.81
  4. Step 4: Simplify right side
    384,521.35x = 92,263,877,159.24
  5. Step 5: Solve for x
    x = 92,263,877,159.24/384,521.35
  6. Step 6: Final answer
    x = 239,944.74

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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.