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Finding the Fourth Proportional to 398,884.08, 550,450.38 and 229,129.12

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Solution

The fourth proportional to 398,884.08, 550,450.38 and 229,129.12 is: 316,192.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,884.08 : 550,450.38 = 229,129.12 : x
  2. Step 2: Convert to fraction form
    398,884.08/550,450.38 = 229,129.12/x
  3. Step 3: Cross multiply
    398,884.08x = 550,450.38 × 229,129.12
  4. Step 4: Simplify right side
    398,884.08x = 126,124,211,173.07
  5. Step 5: Solve for x
    x = 126,124,211,173.07/398,884.08
  6. Step 6: Final answer
    x = 316,192.64

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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.