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Finding the Fourth Proportional to 299,926.76, 413,858.40 and 192,642.26

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Solution

The fourth proportional to 299,926.76, 413,858.40 and 192,642.26 is: 265,820.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,926.76 : 413,858.40 = 192,642.26 : x
  2. Step 2: Convert to fraction form
    299,926.76/413,858.40 = 192,642.26/x
  3. Step 3: Cross multiply
    299,926.76x = 413,858.40 × 192,642.26
  4. Step 4: Simplify right side
    299,926.76x = 79,726,617,495.98
  5. Step 5: Solve for x
    x = 79,726,617,495.98/299,926.76
  6. Step 6: Final answer
    x = 265,820.29

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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.