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Finding the Fourth Proportional to 297,123.94, 410,024.59 and 168,045.31

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Solution

The fourth proportional to 297,123.94, 410,024.59 and 168,045.31 is: 231,898.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,123.94 : 410,024.59 = 168,045.31 : x
  2. Step 2: Convert to fraction form
    297,123.94/410,024.59 = 168,045.31/x
  3. Step 3: Cross multiply
    297,123.94x = 410,024.59 × 168,045.31
  4. Step 4: Simplify right side
    297,123.94x = 68,902,709,334.17
  5. Step 5: Solve for x
    x = 68,902,709,334.17/297,123.94
  6. Step 6: Final answer
    x = 231,898.88

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