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Finding the Fourth Proportional to 301,734.90, 452,998.14 and 202,340

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Solution

The fourth proportional to 301,734.90, 452,998.14 and 202,340 is: 303,775.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,734.90 : 452,998.14 = 202,340 : x
  2. Step 2: Convert to fraction form
    301,734.90/452,998.14 = 202,340/x
  3. Step 3: Cross multiply
    301,734.90x = 452,998.14 × 202,340
  4. Step 4: Simplify right side
    301,734.90x = 91,659,643,647.60
  5. Step 5: Solve for x
    x = 91,659,643,647.60/301,734.90
  6. Step 6: Final answer
    x = 303,775.41

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