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Finding the Fourth Proportional to 323,202.34, 484,641.24 and 188,310.08

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Solution

The fourth proportional to 323,202.34, 484,641.24 and 188,310.08 is: 282,370.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,202.34 : 484,641.24 = 188,310.08 : x
  2. Step 2: Convert to fraction form
    323,202.34/484,641.24 = 188,310.08/x
  3. Step 3: Cross multiply
    323,202.34x = 484,641.24 × 188,310.08
  4. Step 4: Simplify right side
    323,202.34x = 91,262,830,675.70
  5. Step 5: Solve for x
    x = 91,262,830,675.70/323,202.34
  6. Step 6: Final answer
    x = 282,370.58

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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.