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Finding the Fourth Proportional to 311,101.80, 466,379.10 and 184,429.80

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Solution

The fourth proportional to 311,101.80, 466,379.10 and 184,429.80 is: 276,482.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,101.80 : 466,379.10 = 184,429.80 : x
  2. Step 2: Convert to fraction form
    311,101.80/466,379.10 = 184,429.80/x
  3. Step 3: Cross multiply
    311,101.80x = 466,379.10 × 184,429.80
  4. Step 4: Simplify right side
    311,101.80x = 86,014,204,137.18
  5. Step 5: Solve for x
    x = 86,014,204,137.18/311,101.80
  6. Step 6: Final answer
    x = 276,482.50

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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.