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Finding the Fourth Proportional to 312,641.34, 431,453.07 and 191,849.37

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Solution

The fourth proportional to 312,641.34, 431,453.07 and 191,849.37 is: 264,757.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,641.34 : 431,453.07 = 191,849.37 : x
  2. Step 2: Convert to fraction form
    312,641.34/431,453.07 = 191,849.37/x
  3. Step 3: Cross multiply
    312,641.34x = 431,453.07 × 191,849.37
  4. Step 4: Simplify right side
    312,641.34x = 82,773,999,664.07
  5. Step 5: Solve for x
    x = 82,773,999,664.07/312,641.34
  6. Step 6: Final answer
    x = 264,757.05

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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.