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Finding the Fourth Proportional to 334,978.80, 462,265.50 and 184,072.56

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Solution

The fourth proportional to 334,978.80, 462,265.50 and 184,072.56 is: 254,017.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,978.80 : 462,265.50 = 184,072.56 : x
  2. Step 2: Convert to fraction form
    334,978.80/462,265.50 = 184,072.56/x
  3. Step 3: Cross multiply
    334,978.80x = 462,265.50 × 184,072.56
  4. Step 4: Simplify right side
    334,978.80x = 85,090,393,984.68
  5. Step 5: Solve for x
    x = 85,090,393,984.68/334,978.80
  6. Step 6: Final answer
    x = 254,017.25

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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.