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Finding the Fourth Proportional to 297,470.48, 410,357.16 and 189,927.44

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Solution

The fourth proportional to 297,470.48, 410,357.16 and 189,927.44 is: 262,002.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,470.48 : 410,357.16 = 189,927.44 : x
  2. Step 2: Convert to fraction form
    297,470.48/410,357.16 = 189,927.44/x
  3. Step 3: Cross multiply
    297,470.48x = 410,357.16 × 189,927.44
  4. Step 4: Simplify right side
    297,470.48x = 77,938,084,884.47
  5. Step 5: Solve for x
    x = 77,938,084,884.47/297,470.48
  6. Step 6: Final answer
    x = 262,002.75

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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.