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Finding the Fourth Proportional to 331,902.56, 458,031.00 and 180,999.56

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Solution

The fourth proportional to 331,902.56, 458,031.00 and 180,999.56 is: 249,782.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,902.56 : 458,031.00 = 180,999.56 : x
  2. Step 2: Convert to fraction form
    331,902.56/458,031.00 = 180,999.56/x
  3. Step 3: Cross multiply
    331,902.56x = 458,031.00 × 180,999.56
  4. Step 4: Simplify right side
    331,902.56x = 82,903,411,290.19
  5. Step 5: Solve for x
    x = 82,903,411,290.19/331,902.56
  6. Step 6: Final answer
    x = 249,782.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.