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Finding the Fourth Proportional to 333,927, 500,919.66 and 84,609

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Solution

The fourth proportional to 333,927, 500,919.66 and 84,609 is: 126,920.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,927 : 500,919.66 = 84,609 : x
  2. Step 2: Convert to fraction form
    333,927/500,919.66 = 84,609/x
  3. Step 3: Cross multiply
    333,927x = 500,919.66 × 84,609
  4. Step 4: Simplify right side
    333,927x = 42,382,311,512.94
  5. Step 5: Solve for x
    x = 42,382,311,512.94/333,927
  6. Step 6: Final answer
    x = 126,920.89

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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.