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Finding the Fourth Proportional to 2,765,952, 4,149,628.16 and 771,408

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Solution

The fourth proportional to 2,765,952, 4,149,628.16 and 771,408 is: 1,157,307.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765,952 : 4,149,628.16 = 771,408 : x
  2. Step 2: Convert to fraction form
    2,765,952/4,149,628.16 = 771,408/x
  3. Step 3: Cross multiply
    2,765,952x = 4,149,628.16 × 771,408
  4. Step 4: Simplify right side
    2,765,952x = 3,201,056,359,649.28
  5. Step 5: Solve for x
    x = 3,201,056,359,649.28/2,765,952
  6. Step 6: Final answer
    x = 1,157,307.27

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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.