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Finding the Fourth Proportional to 294,955.38, 406,883.25 and 199,494.18

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Solution

The fourth proportional to 294,955.38, 406,883.25 and 199,494.18 is: 275,197.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,955.38 : 406,883.25 = 199,494.18 : x
  2. Step 2: Convert to fraction form
    294,955.38/406,883.25 = 199,494.18/x
  3. Step 3: Cross multiply
    294,955.38x = 406,883.25 × 199,494.18
  4. Step 4: Simplify right side
    294,955.38x = 81,170,840,314.49
  5. Step 5: Solve for x
    x = 81,170,840,314.49/294,955.38
  6. Step 6: Final answer
    x = 275,197.02

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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.