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Finding the Fourth Proportional to 264,697.33, 397,045.05 and 114,918.07

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Solution

The fourth proportional to 264,697.33, 397,045.05 and 114,918.07 is: 172,376.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,697.33 : 397,045.05 = 114,918.07 : x
  2. Step 2: Convert to fraction form
    264,697.33/397,045.05 = 114,918.07/x
  3. Step 3: Cross multiply
    264,697.33x = 397,045.05 × 114,918.07
  4. Step 4: Simplify right side
    264,697.33x = 45,627,650,849.05
  5. Step 5: Solve for x
    x = 45,627,650,849.05/264,697.33
  6. Step 6: Final answer
    x = 172,376.69

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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.