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Finding the Fourth Proportional to 298,071.06, 447,150.94 and 98,412.54

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Solution

The fourth proportional to 298,071.06, 447,150.94 and 98,412.54 is: 147,633.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,071.06 : 447,150.94 = 98,412.54 : x
  2. Step 2: Convert to fraction form
    298,071.06/447,150.94 = 98,412.54/x
  3. Step 3: Cross multiply
    298,071.06x = 447,150.94 × 98,412.54
  4. Step 4: Simplify right side
    298,071.06x = 44,005,259,768.79
  5. Step 5: Solve for x
    x = 44,005,259,768.79/298,071.06
  6. Step 6: Final answer
    x = 147,633.45

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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.