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Finding the Fourth Proportional to 2,765,962, 4,149,643.16 and 771,418

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Solution

The fourth proportional to 2,765,962, 4,149,643.16 and 771,418 is: 1,157,322.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765,962 : 4,149,643.16 = 771,418 : x
  2. Step 2: Convert to fraction form
    2,765,962/4,149,643.16 = 771,418/x
  3. Step 3: Cross multiply
    2,765,962x = 4,149,643.16 × 771,418
  4. Step 4: Simplify right side
    2,765,962x = 3,201,109,427,200.88
  5. Step 5: Solve for x
    x = 3,201,109,427,200.88/2,765,962
  6. Step 6: Final answer
    x = 1,157,322.27

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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.