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Finding the Fourth Proportional to 561,047.82, 842,817.34 and 347,973.22

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Solution

The fourth proportional to 561,047.82, 842,817.34 and 347,973.22 is: 522,732.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,047.82 : 842,817.34 = 347,973.22 : x
  2. Step 2: Convert to fraction form
    561,047.82/842,817.34 = 347,973.22/x
  3. Step 3: Cross multiply
    561,047.82x = 842,817.34 × 347,973.22
  4. Step 4: Simplify right side
    561,047.82x = 293,277,863,202.77
  5. Step 5: Solve for x
    x = 293,277,863,202.77/561,047.82
  6. Step 6: Final answer
    x = 522,732.38

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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.