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Finding the Fourth Proportional to 273,611.40, 411,039.84 and 197,943.32

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Solution

The fourth proportional to 273,611.40, 411,039.84 and 197,943.32 is: 297,365.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,611.40 : 411,039.84 = 197,943.32 : x
  2. Step 2: Convert to fraction form
    273,611.40/411,039.84 = 197,943.32/x
  3. Step 3: Cross multiply
    273,611.40x = 411,039.84 × 197,943.32
  4. Step 4: Simplify right side
    273,611.40x = 81,362,590,581.87
  5. Step 5: Solve for x
    x = 81,362,590,581.87/273,611.40
  6. Step 6: Final answer
    x = 297,365.50

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Why These Related Problems?

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