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Finding the Fourth Proportional to 334,100.80, 500,929.80 and 184,412.80

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Solution

The fourth proportional to 334,100.80, 500,929.80 and 184,412.80 is: 276,496.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,100.80 : 500,929.80 = 184,412.80 : x
  2. Step 2: Convert to fraction form
    334,100.80/500,929.80 = 184,412.80/x
  3. Step 3: Cross multiply
    334,100.80x = 500,929.80 × 184,412.80
  4. Step 4: Simplify right side
    334,100.80x = 92,377,867,021.44
  5. Step 5: Solve for x
    x = 92,377,867,021.44/334,100.80
  6. Step 6: Final answer
    x = 276,496.99

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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.