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Finding the Fourth Proportional to 273,478, 410,411.40 and 107,266

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Solution

The fourth proportional to 273,478, 410,411.40 and 107,266 is: 160,975.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,478 : 410,411.40 = 107,266 : x
  2. Step 2: Convert to fraction form
    273,478/410,411.40 = 107,266/x
  3. Step 3: Cross multiply
    273,478x = 410,411.40 × 107,266
  4. Step 4: Simplify right side
    273,478x = 44,023,189,232.40
  5. Step 5: Solve for x
    x = 44,023,189,232.40/273,478
  6. Step 6: Final answer
    x = 160,975.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.