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Finding the Fourth Proportional to 562,123.60, 842,893.80 and 206,954.80

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Solution

The fourth proportional to 562,123.60, 842,893.80 and 206,954.80 is: 310,324.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,123.60 : 842,893.80 = 206,954.80 : x
  2. Step 2: Convert to fraction form
    562,123.60/842,893.80 = 206,954.80/x
  3. Step 3: Cross multiply
    562,123.60x = 842,893.80 × 206,954.80
  4. Step 4: Simplify right side
    562,123.60x = 174,440,917,800.24
  5. Step 5: Solve for x
    x = 174,440,917,800.24/562,123.60
  6. Step 6: Final answer
    x = 310,324.84

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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.