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Finding the Fourth Proportional to 713,067.75, 1,070,021.97 and 264,103.89

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Solution

The fourth proportional to 713,067.75, 1,070,021.97 and 264,103.89 is: 396,311.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,067.75 : 1,070,021.97 = 264,103.89 : x
  2. Step 2: Convert to fraction form
    713,067.75/1,070,021.97 = 264,103.89/x
  3. Step 3: Cross multiply
    713,067.75x = 1,070,021.97 × 264,103.89
  4. Step 4: Simplify right side
    713,067.75x = 282,596,964,662.46
  5. Step 5: Solve for x
    x = 282,596,964,662.46/713,067.75
  6. Step 6: Final answer
    x = 396,311.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.