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Finding the Fourth Proportional to 384,497.80, 576,953.26 and 160,013

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Solution

The fourth proportional to 384,497.80, 576,953.26 and 160,013 is: 240,105.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,497.80 : 576,953.26 = 160,013 : x
  2. Step 2: Convert to fraction form
    384,497.80/576,953.26 = 160,013/x
  3. Step 3: Cross multiply
    384,497.80x = 576,953.26 × 160,013
  4. Step 4: Simplify right side
    384,497.80x = 92,320,021,992.38
  5. Step 5: Solve for x
    x = 92,320,021,992.38/384,497.80
  6. Step 6: Final answer
    x = 240,105.46

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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.