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Finding the Fourth Proportional to 298,546.15, 446,767.49 and 186,279.24

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Solution

The fourth proportional to 298,546.15, 446,767.49 and 186,279.24 is: 278,762.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,546.15 : 446,767.49 = 186,279.24 : x
  2. Step 2: Convert to fraction form
    298,546.15/446,767.49 = 186,279.24/x
  3. Step 3: Cross multiply
    298,546.15x = 446,767.49 × 186,279.24
  4. Step 4: Simplify right side
    298,546.15x = 83,223,507,562.51
  5. Step 5: Solve for x
    x = 83,223,507,562.51/298,546.15
  6. Step 6: Final answer
    x = 278,762.62

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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.