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Finding the Fourth Proportional to 496,716.16, 745,219.41 and 159,749.26

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Solution

The fourth proportional to 496,716.16, 745,219.41 and 159,749.26 is: 239,670.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,716.16 : 745,219.41 = 159,749.26 : x
  2. Step 2: Convert to fraction form
    496,716.16/745,219.41 = 159,749.26/x
  3. Step 3: Cross multiply
    496,716.16x = 745,219.41 × 159,749.26
  4. Step 4: Simplify right side
    496,716.16x = 119,048,249,285.14
  5. Step 5: Solve for x
    x = 119,048,249,285.14/496,716.16
  6. Step 6: Final answer
    x = 239,670.58

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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.