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Finding the Fourth Proportional to 414,064.94, 571,370.22 and 242,023.23

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Solution

The fourth proportional to 414,064.94, 571,370.22 and 242,023.23 is: 333,969.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,064.94 : 571,370.22 = 242,023.23 : x
  2. Step 2: Convert to fraction form
    414,064.94/571,370.22 = 242,023.23/x
  3. Step 3: Cross multiply
    414,064.94x = 571,370.22 × 242,023.23
  4. Step 4: Simplify right side
    414,064.94x = 138,284,866,170.21
  5. Step 5: Solve for x
    x = 138,284,866,170.21/414,064.94
  6. Step 6: Final answer
    x = 333,969.03

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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.