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Finding the Fourth Proportional to 274,293.27, 411,458.36 and 105,814.98

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Solution

The fourth proportional to 274,293.27, 411,458.36 and 105,814.98 is: 158,729.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,293.27 : 411,458.36 = 105,814.98 : x
  2. Step 2: Convert to fraction form
    274,293.27/411,458.36 = 105,814.98/x
  3. Step 3: Cross multiply
    274,293.27x = 411,458.36 × 105,814.98
  4. Step 4: Simplify right side
    274,293.27x = 43,538,457,605.16
  5. Step 5: Solve for x
    x = 43,538,457,605.16/274,293.27
  6. Step 6: Final answer
    x = 158,729.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.