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Finding the Fourth Proportional to 561,814.12, 842,717.94 and 187,833.88

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Solution

The fourth proportional to 561,814.12, 842,717.94 and 187,833.88 is: 281,749.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,814.12 : 842,717.94 = 187,833.88 : x
  2. Step 2: Convert to fraction form
    561,814.12/842,717.94 = 187,833.88/x
  3. Step 3: Cross multiply
    561,814.12x = 842,717.94 × 187,833.88
  4. Step 4: Simplify right side
    561,814.12x = 158,290,980,415.81
  5. Step 5: Solve for x
    x = 158,290,980,415.81/561,814.12
  6. Step 6: Final answer
    x = 281,749.74

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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.