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Finding the Fourth Proportional to 295,933.60, 443,608.80 and 146,051.20

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Solution

The fourth proportional to 295,933.60, 443,608.80 and 146,051.20 is: 218,932.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,933.60 : 443,608.80 = 146,051.20 : x
  2. Step 2: Convert to fraction form
    295,933.60/443,608.80 = 146,051.20/x
  3. Step 3: Cross multiply
    295,933.60x = 443,608.80 × 146,051.20
  4. Step 4: Simplify right side
    295,933.60x = 64,789,597,570.56
  5. Step 5: Solve for x
    x = 64,789,597,570.56/295,933.60
  6. Step 6: Final answer
    x = 218,932.89

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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.