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Finding the Fourth Proportional to 393,716.91, 590,669.43 and 127,477.71

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Solution

The fourth proportional to 393,716.91, 590,669.43 and 127,477.71 is: 191,247.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,716.91 : 590,669.43 = 127,477.71 : x
  2. Step 2: Convert to fraction form
    393,716.91/590,669.43 = 127,477.71/x
  3. Step 3: Cross multiply
    393,716.91x = 590,669.43 × 127,477.71
  4. Step 4: Simplify right side
    393,716.91x = 75,297,186,303.41
  5. Step 5: Solve for x
    x = 75,297,186,303.41/393,716.91
  6. Step 6: Final answer
    x = 191,247.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.