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Finding the Fourth Proportional to 314,268.38, 434,197.74 and 219,199.48

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Solution

The fourth proportional to 314,268.38, 434,197.74 and 219,199.48 is: 302,849.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,268.38 : 434,197.74 = 219,199.48 : x
  2. Step 2: Convert to fraction form
    314,268.38/434,197.74 = 219,199.48/x
  3. Step 3: Cross multiply
    314,268.38x = 434,197.74 × 219,199.48
  4. Step 4: Simplify right side
    314,268.38x = 95,175,918,825.18
  5. Step 5: Solve for x
    x = 95,175,918,825.18/314,268.38
  6. Step 6: Final answer
    x = 302,849.17

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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.