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Finding the Fourth Proportional to 414,199.16, 620,302.28 and 236,166.42

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Solution

The fourth proportional to 414,199.16, 620,302.28 and 236,166.42 is: 353,681.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,199.16 : 620,302.28 = 236,166.42 : x
  2. Step 2: Convert to fraction form
    414,199.16/620,302.28 = 236,166.42/x
  3. Step 3: Cross multiply
    414,199.16x = 620,302.28 × 236,166.42
  4. Step 4: Simplify right side
    414,199.16x = 146,494,569,745.78
  5. Step 5: Solve for x
    x = 146,494,569,745.78/414,199.16
  6. Step 6: Final answer
    x = 353,681.48

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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.