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Finding the Fourth Proportional to 264,214.18, 396,392.73 and 188,408.46

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Solution

The fourth proportional to 264,214.18, 396,392.73 and 188,408.46 is: 282,663.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,214.18 : 396,392.73 = 188,408.46 : x
  2. Step 2: Convert to fraction form
    264,214.18/396,392.73 = 188,408.46/x
  3. Step 3: Cross multiply
    264,214.18x = 396,392.73 × 188,408.46
  4. Step 4: Simplify right side
    264,214.18x = 74,683,743,814.50
  5. Step 5: Solve for x
    x = 74,683,743,814.50/264,214.18
  6. Step 6: Final answer
    x = 282,663.65

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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.