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Finding the Fourth Proportional to 398,681.37, 598,022.06 and 273,643.29

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Solution

The fourth proportional to 398,681.37, 598,022.06 and 273,643.29 is: 410,464.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,681.37 : 598,022.06 = 273,643.29 : x
  2. Step 2: Convert to fraction form
    398,681.37/598,022.06 = 273,643.29/x
  3. Step 3: Cross multiply
    398,681.37x = 598,022.06 × 273,643.29
  4. Step 4: Simplify right side
    398,681.37x = 163,644,722,622.76
  5. Step 5: Solve for x
    x = 163,644,722,622.76/398,681.37
  6. Step 6: Final answer
    x = 410,464.94

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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.