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Finding the Fourth Proportional to 298,716.60, 412,381.26 and 202,429.14

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Solution

The fourth proportional to 298,716.60, 412,381.26 and 202,429.14 is: 279,455.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,716.60 : 412,381.26 = 202,429.14 : x
  2. Step 2: Convert to fraction form
    298,716.60/412,381.26 = 202,429.14/x
  3. Step 3: Cross multiply
    298,716.60x = 412,381.26 × 202,429.14
  4. Step 4: Simplify right side
    298,716.60x = 83,477,983,813.92
  5. Step 5: Solve for x
    x = 83,477,983,813.92/298,716.60
  6. Step 6: Final answer
    x = 279,455.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.