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Finding the Fourth Proportional to 332,295, 498,442.50 and 98,823

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Solution

The fourth proportional to 332,295, 498,442.50 and 98,823 is: 148,234.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,295 : 498,442.50 = 98,823 : x
  2. Step 2: Convert to fraction form
    332,295/498,442.50 = 98,823/x
  3. Step 3: Cross multiply
    332,295x = 498,442.50 × 98,823
  4. Step 4: Simplify right side
    332,295x = 49,257,583,177.50
  5. Step 5: Solve for x
    x = 49,257,583,177.50/332,295
  6. Step 6: Final answer
    x = 148,234.50

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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.