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Finding the Fourth Proportional to 297,693.51, 410,590.71 and 205,965.42

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Solution

The fourth proportional to 297,693.51, 410,590.71 and 205,965.42 is: 284,075.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,693.51 : 410,590.71 = 205,965.42 : x
  2. Step 2: Convert to fraction form
    297,693.51/410,590.71 = 205,965.42/x
  3. Step 3: Cross multiply
    297,693.51x = 410,590.71 × 205,965.42
  4. Step 4: Simplify right side
    297,693.51x = 84,567,488,033.25
  5. Step 5: Solve for x
    x = 84,567,488,033.25/297,693.51
  6. Step 6: Final answer
    x = 284,075.69

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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.