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Finding the Fourth Proportional to 312,677.08, 469,643.25 and 186,563.44

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Solution

The fourth proportional to 312,677.08, 469,643.25 and 186,563.44 is: 280,219.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,677.08 : 469,643.25 = 186,563.44 : x
  2. Step 2: Convert to fraction form
    312,677.08/469,643.25 = 186,563.44/x
  3. Step 3: Cross multiply
    312,677.08x = 469,643.25 × 186,563.44
  4. Step 4: Simplify right side
    312,677.08x = 87,618,260,292.78
  5. Step 5: Solve for x
    x = 87,618,260,292.78/312,677.08
  6. Step 6: Final answer
    x = 280,219.64

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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.