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Finding the Fourth Proportional to 313,846, 470,734.92 and 185,775.28

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Solution

The fourth proportional to 313,846, 470,734.92 and 185,775.28 is: 278,642.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,846 : 470,734.92 = 185,775.28 : x
  2. Step 2: Convert to fraction form
    313,846/470,734.92 = 185,775.28/x
  3. Step 3: Cross multiply
    313,846x = 470,734.92 × 185,775.28
  4. Step 4: Simplify right side
    313,846x = 87,450,911,568.78
  5. Step 5: Solve for x
    x = 87,450,911,568.78/313,846
  6. Step 6: Final answer
    x = 278,642.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.