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Finding the Fourth Proportional to 334,393.68, 500,734.12 and 184,467.36

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Solution

The fourth proportional to 334,393.68, 500,734.12 and 184,467.36 is: 276,228.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,393.68 : 500,734.12 = 184,467.36 : x
  2. Step 2: Convert to fraction form
    334,393.68/500,734.12 = 184,467.36/x
  3. Step 3: Cross multiply
    334,393.68x = 500,734.12 × 184,467.36
  4. Step 4: Simplify right side
    334,393.68x = 92,369,101,178.32
  5. Step 5: Solve for x
    x = 92,369,101,178.32/334,393.68
  6. Step 6: Final answer
    x = 276,228.61

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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.