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Finding the Fourth Proportional to 405,921.74, 608,870 and 192,843

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Solution

The fourth proportional to 405,921.74, 608,870 and 192,843 is: 289,258.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,921.74 : 608,870 = 192,843 : x
  2. Step 2: Convert to fraction form
    405,921.74/608,870 = 192,843/x
  3. Step 3: Cross multiply
    405,921.74x = 608,870 × 192,843
  4. Step 4: Simplify right side
    405,921.74x = 117,416,317,410
  5. Step 5: Solve for x
    x = 117,416,317,410/405,921.74
  6. Step 6: Final answer
    x = 289,258.51

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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.