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Finding the Fourth Proportional to 264,295.38, 364,727.80 and 143,436.64

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Solution

The fourth proportional to 264,295.38, 364,727.80 and 143,436.64 is: 197,942.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,295.38 : 364,727.80 = 143,436.64 : x
  2. Step 2: Convert to fraction form
    264,295.38/364,727.80 = 143,436.64/x
  3. Step 3: Cross multiply
    264,295.38x = 364,727.80 × 143,436.64
  4. Step 4: Simplify right side
    264,295.38x = 52,315,330,146.59
  5. Step 5: Solve for x
    x = 52,315,330,146.59/264,295.38
  6. Step 6: Final answer
    x = 197,942.66

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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.