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Finding the Fourth Proportional to 266,004.80, 398,546.40 and 172,462.40

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Solution

The fourth proportional to 266,004.80, 398,546.40 and 172,462.40 is: 258,394.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,004.80 : 398,546.40 = 172,462.40 : x
  2. Step 2: Convert to fraction form
    266,004.80/398,546.40 = 172,462.40/x
  3. Step 3: Cross multiply
    266,004.80x = 398,546.40 × 172,462.40
  4. Step 4: Simplify right side
    266,004.80x = 68,734,268,655.36
  5. Step 5: Solve for x
    x = 68,734,268,655.36/266,004.80
  6. Step 6: Final answer
    x = 258,394.84

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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.