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Finding the Fourth Proportional to 279,684.49, 419,364.73 and 191,045.11

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Solution

The fourth proportional to 279,684.49, 419,364.73 and 191,045.11 is: 286,457.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,684.49 : 419,364.73 = 191,045.11 : x
  2. Step 2: Convert to fraction form
    279,684.49/419,364.73 = 191,045.11/x
  3. Step 3: Cross multiply
    279,684.49x = 419,364.73 × 191,045.11
  4. Step 4: Simplify right side
    279,684.49x = 80,117,580,972.97
  5. Step 5: Solve for x
    x = 80,117,580,972.97/279,684.49
  6. Step 6: Final answer
    x = 286,457.00

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Why These Related Problems?

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