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Finding the Fourth Proportional to 264,306.38, 364,745.43 and 143,448.74

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Solution

The fourth proportional to 264,306.38, 364,745.43 and 143,448.74 is: 197,960.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,306.38 : 364,745.43 = 143,448.74 : x
  2. Step 2: Convert to fraction form
    264,306.38/364,745.43 = 143,448.74/x
  3. Step 3: Cross multiply
    264,306.38x = 364,745.43 × 143,448.74
  4. Step 4: Simplify right side
    264,306.38x = 52,322,272,354.26
  5. Step 5: Solve for x
    x = 52,322,272,354.26/264,306.38
  6. Step 6: Final answer
    x = 197,960.69

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1.5x scale

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.