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Finding the Fourth Proportional to 299,794.87, 413,897.13 and 186,770.71

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Solution

The fourth proportional to 299,794.87, 413,897.13 and 186,770.71 is: 257,855.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,794.87 : 413,897.13 = 186,770.71 : x
  2. Step 2: Convert to fraction form
    299,794.87/413,897.13 = 186,770.71/x
  3. Step 3: Cross multiply
    299,794.87x = 413,897.13 × 186,770.71
  4. Step 4: Simplify right side
    299,794.87x = 77,303,857,833.72
  5. Step 5: Solve for x
    x = 77,303,857,833.72/299,794.87
  6. Step 6: Final answer
    x = 257,855.84

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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.