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Finding the Fourth Proportional to 312,292, 468,450.96 and 90,676

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Solution

The fourth proportional to 312,292, 468,450.96 and 90,676 is: 136,017.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,292 : 468,450.96 = 90,676 : x
  2. Step 2: Convert to fraction form
    312,292/468,450.96 = 90,676/x
  3. Step 3: Cross multiply
    312,292x = 468,450.96 × 90,676
  4. Step 4: Simplify right side
    312,292x = 42,477,259,248.96
  5. Step 5: Solve for x
    x = 42,477,259,248.96/312,292
  6. Step 6: Final answer
    x = 136,017.76

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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.