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Finding the Fourth Proportional to 298,357.44, 447,537.48 and 120,867.84

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Solution

The fourth proportional to 298,357.44, 447,537.48 and 120,867.84 is: 181,302.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,357.44 : 447,537.48 = 120,867.84 : x
  2. Step 2: Convert to fraction form
    298,357.44/447,537.48 = 120,867.84/x
  3. Step 3: Cross multiply
    298,357.44x = 447,537.48 × 120,867.84
  4. Step 4: Simplify right side
    298,357.44x = 54,092,888,526.64
  5. Step 5: Solve for x
    x = 54,092,888,526.64/298,357.44
  6. Step 6: Final answer
    x = 181,302.29

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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.