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Finding the Fourth Proportional to 301,465.12, 415,936.56 and 194,097.28

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Solution

The fourth proportional to 301,465.12, 415,936.56 and 194,097.28 is: 267,799.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,465.12 : 415,936.56 = 194,097.28 : x
  2. Step 2: Convert to fraction form
    301,465.12/415,936.56 = 194,097.28/x
  3. Step 3: Cross multiply
    301,465.12x = 415,936.56 × 194,097.28
  4. Step 4: Simplify right side
    301,465.12x = 80,732,154,948.56
  5. Step 5: Solve for x
    x = 80,732,154,948.56/301,465.12
  6. Step 6: Final answer
    x = 267,799.32

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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.