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Finding the Fourth Proportional to 413,911.57, 620,348.19 and 176,976.13

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Solution

The fourth proportional to 413,911.57, 620,348.19 and 176,976.13 is: 265,242.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,911.57 : 620,348.19 = 176,976.13 : x
  2. Step 2: Convert to fraction form
    413,911.57/620,348.19 = 176,976.13/x
  3. Step 3: Cross multiply
    413,911.57x = 620,348.19 × 176,976.13
  4. Step 4: Simplify right side
    413,911.57x = 109,786,821,918.71
  5. Step 5: Solve for x
    x = 109,786,821,918.71/413,911.57
  6. Step 6: Final answer
    x = 265,242.22

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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.