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Finding the Fourth Proportional to 490,408.30, 676,783.38 and 275,547.70

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Solution

The fourth proportional to 490,408.30, 676,783.38 and 275,547.70 is: 380,267.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,408.30 : 676,783.38 = 275,547.70 : x
  2. Step 2: Convert to fraction form
    490,408.30/676,783.38 = 275,547.70/x
  3. Step 3: Cross multiply
    490,408.30x = 676,783.38 × 275,547.70
  4. Step 4: Simplify right side
    490,408.30x = 186,486,103,757.23
  5. Step 5: Solve for x
    x = 186,486,103,757.23/490,408.30
  6. Step 6: Final answer
    x = 380,267.02

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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.