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Finding the Fourth Proportional to 288,042.37, 397,387.60 and 180,425.05

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Solution

The fourth proportional to 288,042.37, 397,387.60 and 180,425.05 is: 248,917.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,042.37 : 397,387.60 = 180,425.05 : x
  2. Step 2: Convert to fraction form
    288,042.37/397,387.60 = 180,425.05/x
  3. Step 3: Cross multiply
    288,042.37x = 397,387.60 × 180,425.05
  4. Step 4: Simplify right side
    288,042.37x = 71,698,677,599.38
  5. Step 5: Solve for x
    x = 71,698,677,599.38/288,042.37
  6. Step 6: Final answer
    x = 248,917.12

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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.