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Finding the Fourth Proportional to 512,187.78, 706,886.01 and 285,880.26

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Solution

The fourth proportional to 512,187.78, 706,886.01 and 285,880.26 is: 394,552.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,187.78 : 706,886.01 = 285,880.26 : x
  2. Step 2: Convert to fraction form
    512,187.78/706,886.01 = 285,880.26/x
  3. Step 3: Cross multiply
    512,187.78x = 706,886.01 × 285,880.26
  4. Step 4: Simplify right side
    512,187.78x = 202,084,756,329.16
  5. Step 5: Solve for x
    x = 202,084,756,329.16/512,187.78
  6. Step 6: Final answer
    x = 394,552.08

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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.