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Finding the Fourth Proportional to 299,792.88, 413,674.36 and 192,508.25

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Solution

The fourth proportional to 299,792.88, 413,674.36 and 192,508.25 is: 265,635.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,792.88 : 413,674.36 = 192,508.25 : x
  2. Step 2: Convert to fraction form
    299,792.88/413,674.36 = 192,508.25/x
  3. Step 3: Cross multiply
    299,792.88x = 413,674.36 × 192,508.25
  4. Step 4: Simplify right side
    299,792.88x = 79,635,724,563.83
  5. Step 5: Solve for x
    x = 79,635,724,563.83/299,792.88
  6. Step 6: Final answer
    x = 265,635.81

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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.