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Finding the Fourth Proportional to 277,528.12, 416,458.24 and 119,756.56

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Solution

The fourth proportional to 277,528.12, 416,458.24 and 119,756.56 is: 179,706.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,528.12 : 416,458.24 = 119,756.56 : x
  2. Step 2: Convert to fraction form
    277,528.12/416,458.24 = 119,756.56/x
  3. Step 3: Cross multiply
    277,528.12x = 416,458.24 × 119,756.56
  4. Step 4: Simplify right side
    277,528.12x = 49,873,606,206.05
  5. Step 5: Solve for x
    x = 49,873,606,206.05/277,528.12
  6. Step 6: Final answer
    x = 179,706.50

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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.