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Finding the Fourth Proportional to 297,586, 410,694.01 and 168,547.43

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Solution

The fourth proportional to 297,586, 410,694.01 and 168,547.43 is: 232,609.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,586 : 410,694.01 = 168,547.43 : x
  2. Step 2: Convert to fraction form
    297,586/410,694.01 = 168,547.43/x
  3. Step 3: Cross multiply
    297,586x = 410,694.01 × 168,547.43
  4. Step 4: Simplify right side
    297,586x = 69,221,419,901.89
  5. Step 5: Solve for x
    x = 69,221,419,901.89/297,586
  6. Step 6: Final answer
    x = 232,609.80

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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.