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Finding the Fourth Proportional to 299,786.49, 413,885.57 and 186,762.33

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Solution

The fourth proportional to 299,786.49, 413,885.57 and 186,762.33 is: 257,844.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,786.49 : 413,885.57 = 186,762.33 : x
  2. Step 2: Convert to fraction form
    299,786.49/413,885.57 = 186,762.33/x
  3. Step 3: Cross multiply
    299,786.49x = 413,885.57 × 186,762.33
  4. Step 4: Simplify right side
    299,786.49x = 77,298,232,472.77
  5. Step 5: Solve for x
    x = 77,298,232,472.77/299,786.49
  6. Step 6: Final answer
    x = 257,844.28

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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.