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Finding the Fourth Proportional to 496,714.41, 745,216.79 and 159,747.51

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Solution

The fourth proportional to 496,714.41, 745,216.79 and 159,747.51 is: 239,667.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,714.41 : 745,216.79 = 159,747.51 : x
  2. Step 2: Convert to fraction form
    496,714.41/745,216.79 = 159,747.51/x
  3. Step 3: Cross multiply
    496,714.41x = 745,216.79 × 159,747.51
  4. Step 4: Simplify right side
    496,714.41x = 119,046,525,813.96
  5. Step 5: Solve for x
    x = 119,046,525,813.96/496,714.41
  6. Step 6: Final answer
    x = 239,667.95

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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.