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Finding the Fourth Proportional to 298,587.52, 447,944.46 and 98,896.60

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Solution

The fourth proportional to 298,587.52, 447,944.46 and 98,896.60 is: 148,365.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,587.52 : 447,944.46 = 98,896.60 : x
  2. Step 2: Convert to fraction form
    298,587.52/447,944.46 = 98,896.60/x
  3. Step 3: Cross multiply
    298,587.52x = 447,944.46 × 98,896.60
  4. Step 4: Simplify right side
    298,587.52x = 44,300,184,082.84
  5. Step 5: Solve for x
    x = 44,300,184,082.84/298,587.52
  6. Step 6: Final answer
    x = 148,365.83

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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.