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Finding the Fourth Proportional to 264,294.64, 364,729.32 and 143,436.97

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Solution

The fourth proportional to 264,294.64, 364,729.32 and 143,436.97 is: 197,944.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,294.64 : 364,729.32 = 143,436.97 : x
  2. Step 2: Convert to fraction form
    264,294.64/364,729.32 = 143,436.97/x
  3. Step 3: Cross multiply
    264,294.64x = 364,729.32 × 143,436.97
  4. Step 4: Simplify right side
    264,294.64x = 52,315,667,338.69
  5. Step 5: Solve for x
    x = 52,315,667,338.69/264,294.64
  6. Step 6: Final answer
    x = 197,944.49

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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.