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Finding the Fourth Proportional to 460,556.91, 689,993.66 and 333,882.95

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Solution

The fourth proportional to 460,556.91, 689,993.66 and 333,882.95 is: 500,214.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,556.91 : 689,993.66 = 333,882.95 : x
  2. Step 2: Convert to fraction form
    460,556.91/689,993.66 = 333,882.95/x
  3. Step 3: Cross multiply
    460,556.91x = 689,993.66 × 333,882.95
  4. Step 4: Simplify right side
    460,556.91x = 230,377,116,066.84
  5. Step 5: Solve for x
    x = 230,377,116,066.84/460,556.91
  6. Step 6: Final answer
    x = 500,214.22

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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.