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Finding the Fourth Proportional to 561,236.96, 842,062.80 and 206,482.88

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Solution

The fourth proportional to 561,236.96, 842,062.80 and 206,482.88 is: 309,800.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,236.96 : 842,062.80 = 206,482.88 : x
  2. Step 2: Convert to fraction form
    561,236.96/842,062.80 = 206,482.88/x
  3. Step 3: Cross multiply
    561,236.96x = 842,062.80 × 206,482.88
  4. Step 4: Simplify right side
    561,236.96x = 173,871,552,084.86
  5. Step 5: Solve for x
    x = 173,871,552,084.86/561,236.96
  6. Step 6: Final answer
    x = 309,800.61

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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.