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Finding the Fourth Proportional to 282,933.44, 424,400.16 and 133,080.56

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Solution

The fourth proportional to 282,933.44, 424,400.16 and 133,080.56 is: 199,620.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,933.44 : 424,400.16 = 133,080.56 : x
  2. Step 2: Convert to fraction form
    282,933.44/424,400.16 = 133,080.56/x
  3. Step 3: Cross multiply
    282,933.44x = 424,400.16 × 133,080.56
  4. Step 4: Simplify right side
    282,933.44x = 56,479,410,956.89
  5. Step 5: Solve for x
    x = 56,479,410,956.89/282,933.44
  6. Step 6: Final answer
    x = 199,620.84

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1.5x scale

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.