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Finding the Fourth Proportional to 397,044.30, 594,582.30 and 254,670.60

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Solution

The fourth proportional to 397,044.30, 594,582.30 and 254,670.60 is: 381,374.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,044.30 : 594,582.30 = 254,670.60 : x
  2. Step 2: Convert to fraction form
    397,044.30/594,582.30 = 254,670.60/x
  3. Step 3: Cross multiply
    397,044.30x = 594,582.30 × 254,670.60
  4. Step 4: Simplify right side
    397,044.30x = 151,422,631,090.38
  5. Step 5: Solve for x
    x = 151,422,631,090.38/397,044.30
  6. Step 6: Final answer
    x = 381,374.65

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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.