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Finding the Fourth Proportional to 701,029.09, 967,488.44 and 414,641.44

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Solution

The fourth proportional to 701,029.09, 967,488.44 and 414,641.44 is: 572,245.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,029.09 : 967,488.44 = 414,641.44 : x
  2. Step 2: Convert to fraction form
    701,029.09/967,488.44 = 414,641.44/x
  3. Step 3: Cross multiply
    701,029.09x = 967,488.44 × 414,641.44
  4. Step 4: Simplify right side
    701,029.09x = 401,160,799,081.11
  5. Step 5: Solve for x
    x = 401,160,799,081.11/701,029.09
  6. Step 6: Final answer
    x = 572,245.58

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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.