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Finding the Fourth Proportional to 511,393.85, 705,661.91 and 293,590.52

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Solution

The fourth proportional to 511,393.85, 705,661.91 and 293,590.52 is: 405,119.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,393.85 : 705,661.91 = 293,590.52 : x
  2. Step 2: Convert to fraction form
    511,393.85/705,661.91 = 293,590.52/x
  3. Step 3: Cross multiply
    511,393.85x = 705,661.91 × 293,590.52
  4. Step 4: Simplify right side
    511,393.85x = 207,175,647,101.09
  5. Step 5: Solve for x
    x = 207,175,647,101.09/511,393.85
  6. Step 6: Final answer
    x = 405,119.55

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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.