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Finding the Fourth Proportional to 562,134.60, 842,910.30 and 206,965.80

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Solution

The fourth proportional to 562,134.60, 842,910.30 and 206,965.80 is: 310,341.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,134.60 : 842,910.30 = 206,965.80 : x
  2. Step 2: Convert to fraction form
    562,134.60/842,910.30 = 206,965.80/x
  3. Step 3: Cross multiply
    562,134.60x = 842,910.30 × 206,965.80
  4. Step 4: Simplify right side
    562,134.60x = 174,453,604,567.74
  5. Step 5: Solve for x
    x = 174,453,604,567.74/562,134.60
  6. Step 6: Final answer
    x = 310,341.34

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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.