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Finding the Fourth Proportional to 296,597.31, 444,916.71 and 119,104.31

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Solution

The fourth proportional to 296,597.31, 444,916.71 and 119,104.31 is: 178,664.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,597.31 : 444,916.71 = 119,104.31 : x
  2. Step 2: Convert to fraction form
    296,597.31/444,916.71 = 119,104.31/x
  3. Step 3: Cross multiply
    296,597.31x = 444,916.71 × 119,104.31
  4. Step 4: Simplify right side
    296,597.31x = 52,991,498,864.31
  5. Step 5: Solve for x
    x = 52,991,498,864.31/296,597.31
  6. Step 6: Final answer
    x = 178,664.80

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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.