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Finding the Fourth Proportional to 298,455.66, 447,609.66 and 186,078

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Solution

The fourth proportional to 298,455.66, 447,609.66 and 186,078 is: 279,070.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,455.66 : 447,609.66 = 186,078 : x
  2. Step 2: Convert to fraction form
    298,455.66/447,609.66 = 186,078/x
  3. Step 3: Cross multiply
    298,455.66x = 447,609.66 × 186,078
  4. Step 4: Simplify right side
    298,455.66x = 83,290,310,313.48
  5. Step 5: Solve for x
    x = 83,290,310,313.48/298,455.66
  6. Step 6: Final answer
    x = 279,070.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.