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Finding the Fourth Proportional to 291,635.91, 402,570.41 and 227,994.21

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Solution

The fourth proportional to 291,635.91, 402,570.41 and 227,994.21 is: 314,720.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,635.91 : 402,570.41 = 227,994.21 : x
  2. Step 2: Convert to fraction form
    291,635.91/402,570.41 = 227,994.21/x
  3. Step 3: Cross multiply
    291,635.91x = 402,570.41 × 227,994.21
  4. Step 4: Simplify right side
    291,635.91x = 91,783,721,457.36
  5. Step 5: Solve for x
    x = 91,783,721,457.36/291,635.91
  6. Step 6: Final answer
    x = 314,720.23

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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.