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Finding the Fourth Proportional to 298,469.10, 447,736.53 and 98,716.74

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Solution

The fourth proportional to 298,469.10, 447,736.53 and 98,716.74 is: 148,085.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,469.10 : 447,736.53 = 98,716.74 : x
  2. Step 2: Convert to fraction form
    298,469.10/447,736.53 = 98,716.74/x
  3. Step 3: Cross multiply
    298,469.10x = 447,736.53 × 98,716.74
  4. Step 4: Simplify right side
    298,469.10x = 44,199,090,620.51
  5. Step 5: Solve for x
    x = 44,199,090,620.51/298,469.10
  6. Step 6: Final answer
    x = 148,085.98

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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.