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Finding the Fourth Proportional to 341,969.22, 471,941.94 and 189,004.12

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Solution

The fourth proportional to 341,969.22, 471,941.94 and 189,004.12 is: 260,839.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,969.22 : 471,941.94 = 189,004.12 : x
  2. Step 2: Convert to fraction form
    341,969.22/471,941.94 = 189,004.12/x
  3. Step 3: Cross multiply
    341,969.22x = 471,941.94 × 189,004.12
  4. Step 4: Simplify right side
    341,969.22x = 89,198,971,060.79
  5. Step 5: Solve for x
    x = 89,198,971,060.79/341,969.22
  6. Step 6: Final answer
    x = 260,839.18

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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.