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Finding the Fourth Proportional to 291,444.42, 437,225.57 and 122,965.17

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Solution

The fourth proportional to 291,444.42, 437,225.57 and 122,965.17 is: 184,472.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,444.42 : 437,225.57 = 122,965.17 : x
  2. Step 2: Convert to fraction form
    291,444.42/437,225.57 = 122,965.17/x
  3. Step 3: Cross multiply
    291,444.42x = 437,225.57 × 122,965.17
  4. Step 4: Simplify right side
    291,444.42x = 53,763,513,742.44
  5. Step 5: Solve for x
    x = 53,763,513,742.44/291,444.42
  6. Step 6: Final answer
    x = 184,472.61

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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.