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Finding the Fourth Proportional to 562,139.10, 842,917.05 and 206,970.30

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Solution

The fourth proportional to 562,139.10, 842,917.05 and 206,970.30 is: 310,348.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,139.10 : 842,917.05 = 206,970.30 : x
  2. Step 2: Convert to fraction form
    562,139.10/842,917.05 = 206,970.30/x
  3. Step 3: Cross multiply
    562,139.10x = 842,917.05 × 206,970.30
  4. Step 4: Simplify right side
    562,139.10x = 174,458,794,713.62
  5. Step 5: Solve for x
    x = 174,458,794,713.62/562,139.10
  6. Step 6: Final answer
    x = 310,348.09

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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.