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Finding the Fourth Proportional to 589,682, 884,523 and 195,698

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Solution

The fourth proportional to 589,682, 884,523 and 195,698 is: 293,547

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,682 : 884,523 = 195,698 : x
  2. Step 2: Convert to fraction form
    589,682/884,523 = 195,698/x
  3. Step 3: Cross multiply
    589,682x = 884,523 × 195,698
  4. Step 4: Simplify right side
    589,682x = 173,099,382,054
  5. Step 5: Solve for x
    x = 173,099,382,054/589,682
  6. Step 6: Final answer
    x = 293,547

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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.