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Finding the Fourth Proportional to 496,722.16, 745,228.42 and 159,755.26

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Solution

The fourth proportional to 496,722.16, 745,228.42 and 159,755.26 is: 239,679.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,722.16 : 745,228.42 = 159,755.26 : x
  2. Step 2: Convert to fraction form
    496,722.16/745,228.42 = 159,755.26/x
  3. Step 3: Cross multiply
    496,722.16x = 745,228.42 × 159,755.26
  4. Step 4: Simplify right side
    496,722.16x = 119,054,159,996.49
  5. Step 5: Solve for x
    x = 119,054,159,996.49/496,722.16
  6. Step 6: Final answer
    x = 239,679.58

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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.