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Finding the Fourth Proportional to 291,297.40, 437,115.86 and 122,807.44

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Solution

The fourth proportional to 291,297.40, 437,115.86 and 122,807.44 is: 184,282.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,297.40 : 437,115.86 = 122,807.44 : x
  2. Step 2: Convert to fraction form
    291,297.40/437,115.86 = 122,807.44/x
  3. Step 3: Cross multiply
    291,297.40x = 437,115.86 × 122,807.44
  4. Step 4: Simplify right side
    291,297.40x = 53,681,079,750.00
  5. Step 5: Solve for x
    x = 53,681,079,750.00/291,297.40
  6. Step 6: Final answer
    x = 184,282.73

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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.