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Finding the Fourth Proportional to 413,160.87, 619,744.04 and 113,673.09

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Solution

The fourth proportional to 413,160.87, 619,744.04 and 113,673.09 is: 170,510.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,160.87 : 619,744.04 = 113,673.09 : x
  2. Step 2: Convert to fraction form
    413,160.87/619,744.04 = 113,673.09/x
  3. Step 3: Cross multiply
    413,160.87x = 619,744.04 × 113,673.09
  4. Step 4: Simplify right side
    413,160.87x = 70,448,220,035.88
  5. Step 5: Solve for x
    x = 70,448,220,035.88/413,160.87
  6. Step 6: Final answer
    x = 170,510.39

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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.