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Finding the Fourth Proportional to 561,980.82, 842,749.34 and 224,958.66

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Solution

The fourth proportional to 561,980.82, 842,749.34 and 224,958.66 is: 337,349.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,980.82 : 842,749.34 = 224,958.66 : x
  2. Step 2: Convert to fraction form
    561,980.82/842,749.34 = 224,958.66/x
  3. Step 3: Cross multiply
    561,980.82x = 842,749.34 × 224,958.66
  4. Step 4: Simplify right side
    561,980.82x = 189,583,762,242.28
  5. Step 5: Solve for x
    x = 189,583,762,242.28/561,980.82
  6. Step 6: Final answer
    x = 337,349.17

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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.