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Finding the Fourth Proportional to 309,007.70, 463,683.77 and 166,849.96

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Solution

The fourth proportional to 309,007.70, 463,683.77 and 166,849.96 is: 250,367.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,007.70 : 463,683.77 = 166,849.96 : x
  2. Step 2: Convert to fraction form
    309,007.70/463,683.77 = 166,849.96/x
  3. Step 3: Cross multiply
    309,007.70x = 463,683.77 × 166,849.96
  4. Step 4: Simplify right side
    309,007.70x = 77,365,618,477.15
  5. Step 5: Solve for x
    x = 77,365,618,477.15/309,007.70
  6. Step 6: Final answer
    x = 250,367.93

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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.