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Finding the Fourth Proportional to 299,998.36, 413,667.84 and 192,527.56

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Solution

The fourth proportional to 299,998.36, 413,667.84 and 192,527.56 is: 265,476.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,998.36 : 413,667.84 = 192,527.56 : x
  2. Step 2: Convert to fraction form
    299,998.36/413,667.84 = 192,527.56/x
  3. Step 3: Cross multiply
    299,998.36x = 413,667.84 × 192,527.56
  4. Step 4: Simplify right side
    299,998.36x = 79,642,459,885.67
  5. Step 5: Solve for x
    x = 79,642,459,885.67/299,998.36
  6. Step 6: Final answer
    x = 265,476.32

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1.5x scale

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.