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Finding the Fourth Proportional to 334,906.48, 462,178.20 and 184,013.20

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Solution

The fourth proportional to 334,906.48, 462,178.20 and 184,013.20 is: 253,942.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,906.48 : 462,178.20 = 184,013.20 : x
  2. Step 2: Convert to fraction form
    334,906.48/462,178.20 = 184,013.20/x
  3. Step 3: Cross multiply
    334,906.48x = 462,178.20 × 184,013.20
  4. Step 4: Simplify right side
    334,906.48x = 85,046,889,552.24
  5. Step 5: Solve for x
    x = 85,046,889,552.24/334,906.48
  6. Step 6: Final answer
    x = 253,942.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.