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Finding the Fourth Proportional to 323,203.34, 484,642.74 and 188,311.08

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Solution

The fourth proportional to 323,203.34, 484,642.74 and 188,311.08 is: 282,372.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,203.34 : 484,642.74 = 188,311.08 : x
  2. Step 2: Convert to fraction form
    323,203.34/484,642.74 = 188,311.08/x
  3. Step 3: Cross multiply
    323,203.34x = 484,642.74 × 188,311.08
  4. Step 4: Simplify right side
    323,203.34x = 91,263,597,783.56
  5. Step 5: Solve for x
    x = 91,263,597,783.56/323,203.34
  6. Step 6: Final answer
    x = 282,372.08

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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.