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Finding the Fourth Proportional to 291,728.44, 437,764.85 and 123,237.84

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Solution

The fourth proportional to 291,728.44, 437,764.85 and 123,237.84 is: 184,929.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,728.44 : 437,764.85 = 123,237.84 : x
  2. Step 2: Convert to fraction form
    291,728.44/437,764.85 = 123,237.84/x
  3. Step 3: Cross multiply
    291,728.44x = 437,764.85 × 123,237.84
  4. Step 4: Simplify right side
    291,728.44x = 53,949,194,541.92
  5. Step 5: Solve for x
    x = 53,949,194,541.92/291,728.44
  6. Step 6: Final answer
    x = 184,929.50

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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.