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Finding the Fourth Proportional to 734,010, 1,101,199.96 and 208,698

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Solution

The fourth proportional to 734,010, 1,101,199.96 and 208,698 is: 313,099.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,010 : 1,101,199.96 = 208,698 : x
  2. Step 2: Convert to fraction form
    734,010/1,101,199.96 = 208,698/x
  3. Step 3: Cross multiply
    734,010x = 1,101,199.96 × 208,698
  4. Step 4: Simplify right side
    734,010x = 229,818,229,252.08
  5. Step 5: Solve for x
    x = 229,818,229,252.08/734,010
  6. Step 6: Final answer
    x = 313,099.59

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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.