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Finding the Fourth Proportional to 295,539.12, 407,814.53 and 166,474.00

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Solution

The fourth proportional to 295,539.12, 407,814.53 and 166,474.00 is: 229,717.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,539.12 : 407,814.53 = 166,474.00 : x
  2. Step 2: Convert to fraction form
    295,539.12/407,814.53 = 166,474.00/x
  3. Step 3: Cross multiply
    295,539.12x = 407,814.53 × 166,474.00
  4. Step 4: Simplify right side
    295,539.12x = 67,890,515,662.88
  5. Step 5: Solve for x
    x = 67,890,515,662.88/295,539.12
  6. Step 6: Final answer
    x = 229,717.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.