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Finding the Fourth Proportional to 561,808.31, 842,796.35 and 206,795.30

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Solution

The fourth proportional to 561,808.31, 842,796.35 and 206,795.30 is: 310,223.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,808.31 : 842,796.35 = 206,795.30 : x
  2. Step 2: Convert to fraction form
    561,808.31/842,796.35 = 206,795.30/x
  3. Step 3: Cross multiply
    561,808.31x = 842,796.35 × 206,795.30
  4. Step 4: Simplify right side
    561,808.31x = 174,286,323,003.18
  5. Step 5: Solve for x
    x = 174,286,323,003.18/561,808.31
  6. Step 6: Final answer
    x = 310,223.83

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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.