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Finding the Fourth Proportional to 298,792.96, 412,503.04 and 198,328.32

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Solution

The fourth proportional to 298,792.96, 412,503.04 and 198,328.32 is: 273,805.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,792.96 : 412,503.04 = 198,328.32 : x
  2. Step 2: Convert to fraction form
    298,792.96/412,503.04 = 198,328.32/x
  3. Step 3: Cross multiply
    298,792.96x = 412,503.04 × 198,328.32
  4. Step 4: Simplify right side
    298,792.96x = 81,811,034,918.09
  5. Step 5: Solve for x
    x = 81,811,034,918.09/298,792.96
  6. Step 6: Final answer
    x = 273,805.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.