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Finding the Fourth Proportional to 264,469.16, 364,966.29 and 143,609.47

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Solution

The fourth proportional to 264,469.16, 364,966.29 and 143,609.47 is: 198,180.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,469.16 : 364,966.29 = 143,609.47 : x
  2. Step 2: Convert to fraction form
    264,469.16/364,966.29 = 143,609.47/x
  3. Step 3: Cross multiply
    264,469.16x = 364,966.29 × 143,609.47
  4. Step 4: Simplify right side
    264,469.16x = 52,412,614,562.35
  5. Step 5: Solve for x
    x = 52,412,614,562.35/264,469.16
  6. Step 6: Final answer
    x = 198,180.44

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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.