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Finding the Fourth Proportional to 298,609.96, 446,862.90 and 186,343

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Solution

The fourth proportional to 298,609.96, 446,862.90 and 186,343 is: 278,857.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,609.96 : 446,862.90 = 186,343 : x
  2. Step 2: Convert to fraction form
    298,609.96/446,862.90 = 186,343/x
  3. Step 3: Cross multiply
    298,609.96x = 446,862.90 × 186,343
  4. Step 4: Simplify right side
    298,609.96x = 83,269,773,374.70
  5. Step 5: Solve for x
    x = 83,269,773,374.70/298,609.96
  6. Step 6: Final answer
    x = 278,857.99

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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.