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Finding the Fourth Proportional to 299,794.88, 413,677.12 and 192,510.24

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Solution

The fourth proportional to 299,794.88, 413,677.12 and 192,510.24 is: 265,638.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,794.88 : 413,677.12 = 192,510.24 : x
  2. Step 2: Convert to fraction form
    299,794.88/413,677.12 = 192,510.24/x
  3. Step 3: Cross multiply
    299,794.88x = 413,677.12 × 192,510.24
  4. Step 4: Simplify right side
    299,794.88x = 79,637,081,653.71
  5. Step 5: Solve for x
    x = 79,637,081,653.71/299,794.88
  6. Step 6: Final answer
    x = 265,638.56

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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.