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Finding the Fourth Proportional to 337,564.82, 506,596.44 and 160,072.43

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Solution

The fourth proportional to 337,564.82, 506,596.44 and 160,072.43 is: 240,226.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,564.82 : 506,596.44 = 160,072.43 : x
  2. Step 2: Convert to fraction form
    337,564.82/506,596.44 = 160,072.43/x
  3. Step 3: Cross multiply
    337,564.82x = 506,596.44 × 160,072.43
  4. Step 4: Simplify right side
    337,564.82x = 81,092,120,647.17
  5. Step 5: Solve for x
    x = 81,092,120,647.17/337,564.82
  6. Step 6: Final answer
    x = 240,226.82

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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.