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Finding the Fourth Proportional to 299,379.80, 413,235.71 and 184,694.13

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Solution

The fourth proportional to 299,379.80, 413,235.71 and 184,694.13 is: 254,934.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,379.80 : 413,235.71 = 184,694.13 : x
  2. Step 2: Convert to fraction form
    299,379.80/413,235.71 = 184,694.13/x
  3. Step 3: Cross multiply
    299,379.80x = 413,235.71 × 184,694.13
  4. Step 4: Simplify right side
    299,379.80x = 76,322,209,019.91
  5. Step 5: Solve for x
    x = 76,322,209,019.91/299,379.80
  6. Step 6: Final answer
    x = 254,934.40

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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.