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Finding the Fourth Proportional to 288,967.41, 398,805.03 and 166,464.02

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Solution

The fourth proportional to 288,967.41, 398,805.03 and 166,464.02 is: 229,737.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,967.41 : 398,805.03 = 166,464.02 : x
  2. Step 2: Convert to fraction form
    288,967.41/398,805.03 = 166,464.02/x
  3. Step 3: Cross multiply
    288,967.41x = 398,805.03 × 166,464.02
  4. Step 4: Simplify right side
    288,967.41x = 66,386,686,496.00
  5. Step 5: Solve for x
    x = 66,386,686,496.00/288,967.41
  6. Step 6: Final answer
    x = 229,737.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.