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Finding the Fourth Proportional to 264,003.46, 364,322.53 and 149,304.63

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Solution

The fourth proportional to 264,003.46, 364,322.53 and 149,304.63 is: 206,039.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,003.46 : 364,322.53 = 149,304.63 : x
  2. Step 2: Convert to fraction form
    264,003.46/364,322.53 = 149,304.63/x
  3. Step 3: Cross multiply
    264,003.46x = 364,322.53 × 149,304.63
  4. Step 4: Simplify right side
    264,003.46x = 54,395,040,542.31
  5. Step 5: Solve for x
    x = 54,395,040,542.31/264,003.46
  6. Step 6: Final answer
    x = 206,039.12

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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.