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Finding the Fourth Proportional to 294,443.84, 405,924.12 and 198,799.04

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Solution

The fourth proportional to 294,443.84, 405,924.12 and 198,799.04 is: 274,066.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,443.84 : 405,924.12 = 198,799.04 : x
  2. Step 2: Convert to fraction form
    294,443.84/405,924.12 = 198,799.04/x
  3. Step 3: Cross multiply
    294,443.84x = 405,924.12 × 198,799.04
  4. Step 4: Simplify right side
    294,443.84x = 80,697,325,368.84
  5. Step 5: Solve for x
    x = 80,697,325,368.84/294,443.84
  6. Step 6: Final answer
    x = 274,066.95

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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.