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Finding the Fourth Proportional to 436,448.29, 654,075.24 and 329,744.56

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Solution

The fourth proportional to 436,448.29, 654,075.24 and 329,744.56 is: 494,165.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,448.29 : 654,075.24 = 329,744.56 : x
  2. Step 2: Convert to fraction form
    436,448.29/654,075.24 = 329,744.56/x
  3. Step 3: Cross multiply
    436,448.29x = 654,075.24 × 329,744.56
  4. Step 4: Simplify right side
    436,448.29x = 215,677,752,220.69
  5. Step 5: Solve for x
    x = 215,677,752,220.69/436,448.29
  6. Step 6: Final answer
    x = 494,165.65

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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.