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Finding the Fourth Proportional to 297,065.84, 409,913.04 and 169,749.68

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Solution

The fourth proportional to 297,065.84, 409,913.04 and 169,749.68 is: 234,232.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,065.84 : 409,913.04 = 169,749.68 : x
  2. Step 2: Convert to fraction form
    297,065.84/409,913.04 = 169,749.68/x
  3. Step 3: Cross multiply
    297,065.84x = 409,913.04 × 169,749.68
  4. Step 4: Simplify right side
    297,065.84x = 69,582,607,367.83
  5. Step 5: Solve for x
    x = 69,582,607,367.83/297,065.84
  6. Step 6: Final answer
    x = 234,232.95

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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.