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Finding the Fourth Proportional to 298,082.44, 447,178.38 and 98,416.36

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Solution

The fourth proportional to 298,082.44, 447,178.38 and 98,416.36 is: 147,642.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,082.44 : 447,178.38 = 98,416.36 : x
  2. Step 2: Convert to fraction form
    298,082.44/447,178.38 = 98,416.36/x
  3. Step 3: Cross multiply
    298,082.44x = 447,178.38 × 98,416.36
  4. Step 4: Simplify right side
    298,082.44x = 44,009,668,430.30
  5. Step 5: Solve for x
    x = 44,009,668,430.30/298,082.44
  6. Step 6: Final answer
    x = 147,642.61

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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.