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Finding the Fourth Proportional to 512,184.03, 706,880.84 and 285,876.51

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Solution

The fourth proportional to 512,184.03, 706,880.84 and 285,876.51 is: 394,546.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,184.03 : 706,880.84 = 285,876.51 : x
  2. Step 2: Convert to fraction form
    512,184.03/706,880.84 = 285,876.51/x
  3. Step 3: Cross multiply
    512,184.03x = 706,880.84 × 285,876.51
  4. Step 4: Simplify right side
    512,184.03x = 202,080,626,095.69
  5. Step 5: Solve for x
    x = 202,080,626,095.69/512,184.03
  6. Step 6: Final answer
    x = 394,546.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.