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Finding the Fourth Proportional to 562,112.92, 842,794.84 and 309,512.36

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Solution

The fourth proportional to 562,112.92, 842,794.84 and 309,512.36 is: 464,062.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,112.92 : 842,794.84 = 309,512.36 : x
  2. Step 2: Convert to fraction form
    562,112.92/842,794.84 = 309,512.36/x
  3. Step 3: Cross multiply
    562,112.92x = 842,794.84 × 309,512.36
  4. Step 4: Simplify right side
    562,112.92x = 260,855,419,924.22
  5. Step 5: Solve for x
    x = 260,855,419,924.22/562,112.92
  6. Step 6: Final answer
    x = 464,062.31

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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.