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Finding the Fourth Proportional to 301,870.80, 416,708.82 and 203,773.32

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Solution

The fourth proportional to 301,870.80, 416,708.82 and 203,773.32 is: 281,292.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,870.80 : 416,708.82 = 203,773.32 : x
  2. Step 2: Convert to fraction form
    301,870.80/416,708.82 = 203,773.32/x
  3. Step 3: Cross multiply
    301,870.80x = 416,708.82 × 203,773.32
  4. Step 4: Simplify right side
    301,870.80x = 84,914,139,724.68
  5. Step 5: Solve for x
    x = 84,914,139,724.68/301,870.80
  6. Step 6: Final answer
    x = 281,292.99

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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.