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Finding the Fourth Proportional to 414,244.48, 621,473.64 and 189,497.56

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Solution

The fourth proportional to 414,244.48, 621,473.64 and 189,497.56 is: 284,295.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,244.48 : 621,473.64 = 189,497.56 : x
  2. Step 2: Convert to fraction form
    414,244.48/621,473.64 = 189,497.56/x
  3. Step 3: Cross multiply
    414,244.48x = 621,473.64 × 189,497.56
  4. Step 4: Simplify right side
    414,244.48x = 117,767,738,384.32
  5. Step 5: Solve for x
    x = 117,767,738,384.32/414,244.48
  6. Step 6: Final answer
    x = 284,295.25

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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.