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Finding the Fourth Proportional to 561,536.35, 841,910.01 and 196,708.71

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Solution

The fourth proportional to 561,536.35, 841,910.01 and 196,708.71 is: 294,924.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,536.35 : 841,910.01 = 196,708.71 : x
  2. Step 2: Convert to fraction form
    561,536.35/841,910.01 = 196,708.71/x
  3. Step 3: Cross multiply
    561,536.35x = 841,910.01 × 196,708.71
  4. Step 4: Simplify right side
    561,536.35x = 165,611,032,003.19
  5. Step 5: Solve for x
    x = 165,611,032,003.19/561,536.35
  6. Step 6: Final answer
    x = 294,924.86

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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.