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Finding the Fourth Proportional to 418,032.99, 626,975.64 and 165,229.44

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Solution

The fourth proportional to 418,032.99, 626,975.64 and 165,229.44 is: 247,814.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,032.99 : 626,975.64 = 165,229.44 : x
  2. Step 2: Convert to fraction form
    418,032.99/626,975.64 = 165,229.44/x
  3. Step 3: Cross multiply
    418,032.99x = 626,975.64 × 165,229.44
  4. Step 4: Simplify right side
    418,032.99x = 103,594,833,890.84
  5. Step 5: Solve for x
    x = 103,594,833,890.84/418,032.99
  6. Step 6: Final answer
    x = 247,814.97

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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.