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Finding the Fourth Proportional to 299,830.28, 413,725.81 and 192,545.63

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Solution

The fourth proportional to 299,830.28, 413,725.81 and 192,545.63 is: 265,687.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,830.28 : 413,725.81 = 192,545.63 : x
  2. Step 2: Convert to fraction form
    299,830.28/413,725.81 = 192,545.63/x
  3. Step 3: Cross multiply
    299,830.28x = 413,725.81 × 192,545.63
  4. Step 4: Simplify right side
    299,830.28x = 79,661,096,733.71
  5. Step 5: Solve for x
    x = 79,661,096,733.71/299,830.28
  6. Step 6: Final answer
    x = 265,687.30

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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.