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Finding the Fourth Proportional to 297,758.15, 446,706.31 and 98,071.37

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Solution

The fourth proportional to 297,758.15, 446,706.31 and 98,071.37 is: 147,129.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,758.15 : 446,706.31 = 98,071.37 : x
  2. Step 2: Convert to fraction form
    297,758.15/446,706.31 = 98,071.37/x
  3. Step 3: Cross multiply
    297,758.15x = 446,706.31 × 98,071.37
  4. Step 4: Simplify right side
    297,758.15x = 43,809,099,809.34
  5. Step 5: Solve for x
    x = 43,809,099,809.34/297,758.15
  6. Step 6: Final answer
    x = 147,129.81

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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.