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Finding the Fourth Proportional to 310,092.40, 465,268.20 and 99,794.80

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Solution

The fourth proportional to 310,092.40, 465,268.20 and 99,794.80 is: 149,733.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,092.40 : 465,268.20 = 99,794.80 : x
  2. Step 2: Convert to fraction form
    310,092.40/465,268.20 = 99,794.80/x
  3. Step 3: Cross multiply
    310,092.40x = 465,268.20 × 99,794.80
  4. Step 4: Simplify right side
    310,092.40x = 46,431,346,965.36
  5. Step 5: Solve for x
    x = 46,431,346,965.36/310,092.40
  6. Step 6: Final answer
    x = 149,733.91

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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.