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Finding the Fourth Proportional to 312,265, 468,410.46 and 90,649

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Solution

The fourth proportional to 312,265, 468,410.46 and 90,649 is: 135,977.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,265 : 468,410.46 = 90,649 : x
  2. Step 2: Convert to fraction form
    312,265/468,410.46 = 90,649/x
  3. Step 3: Cross multiply
    312,265x = 468,410.46 × 90,649
  4. Step 4: Simplify right side
    312,265x = 42,460,939,788.54
  5. Step 5: Solve for x
    x = 42,460,939,788.54/312,265
  6. Step 6: Final answer
    x = 135,977.26

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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.