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Finding the Fourth Proportional to 332,297, 498,445.50 and 98,825

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Solution

The fourth proportional to 332,297, 498,445.50 and 98,825 is: 148,237.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,297 : 498,445.50 = 98,825 : x
  2. Step 2: Convert to fraction form
    332,297/498,445.50 = 98,825/x
  3. Step 3: Cross multiply
    332,297x = 498,445.50 × 98,825
  4. Step 4: Simplify right side
    332,297x = 49,258,876,537.50
  5. Step 5: Solve for x
    x = 49,258,876,537.50/332,297
  6. Step 6: Final answer
    x = 148,237.50

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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.