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Finding the Fourth Proportional to 1,202,157, 1,658,976.66 and 665,647.56

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Solution

The fourth proportional to 1,202,157, 1,658,976.66 and 665,647.56 is: 918,593.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202,157 : 1,658,976.66 = 665,647.56 : x
  2. Step 2: Convert to fraction form
    1,202,157/1,658,976.66 = 665,647.56/x
  3. Step 3: Cross multiply
    1,202,157x = 1,658,976.66 × 665,647.56
  4. Step 4: Simplify right side
    1,202,157x = 1,104,293,765,825.95
  5. Step 5: Solve for x
    x = 1,104,293,765,825.95/1,202,157
  6. Step 6: Final answer
    x = 918,593.63

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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.