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Finding the Fourth Proportional to 297,217.14, 410,152.57 and 164,606.26

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Solution

The fourth proportional to 297,217.14, 410,152.57 and 164,606.26 is: 227,152.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,217.14 : 410,152.57 = 164,606.26 : x
  2. Step 2: Convert to fraction form
    297,217.14/410,152.57 = 164,606.26/x
  3. Step 3: Cross multiply
    297,217.14x = 410,152.57 × 164,606.26
  4. Step 4: Simplify right side
    297,217.14x = 67,513,680,577.09
  5. Step 5: Solve for x
    x = 67,513,680,577.09/297,217.14
  6. Step 6: Final answer
    x = 227,152.72

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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.