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Finding the Fourth Proportional to 294,094.40, 405,924.32 and 166,846.40

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Solution

The fourth proportional to 294,094.40, 405,924.32 and 166,846.40 is: 230,290.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,094.40 : 405,924.32 = 166,846.40 : x
  2. Step 2: Convert to fraction form
    294,094.40/405,924.32 = 166,846.40/x
  3. Step 3: Cross multiply
    294,094.40x = 405,924.32 × 166,846.40
  4. Step 4: Simplify right side
    294,094.40x = 67,727,011,464.45
  5. Step 5: Solve for x
    x = 67,727,011,464.45/294,094.40
  6. Step 6: Final answer
    x = 230,290.04

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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.