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Finding the Fourth Proportional to 414,393.36, 621,885.08 and 189,613.50

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Solution

The fourth proportional to 414,393.36, 621,885.08 and 189,613.50 is: 284,555.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,393.36 : 621,885.08 = 189,613.50 : x
  2. Step 2: Convert to fraction form
    414,393.36/621,885.08 = 189,613.50/x
  3. Step 3: Cross multiply
    414,393.36x = 621,885.08 × 189,613.50
  4. Step 4: Simplify right side
    414,393.36x = 117,917,806,616.58
  5. Step 5: Solve for x
    x = 117,917,806,616.58/414,393.36
  6. Step 6: Final answer
    x = 284,555.25

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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.