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Finding the Fourth Proportional to 277,855.06, 416,339.72 and 177,933.06

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Solution

The fourth proportional to 277,855.06, 416,339.72 and 177,933.06 is: 266,615.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,855.06 : 416,339.72 = 177,933.06 : x
  2. Step 2: Convert to fraction form
    277,855.06/416,339.72 = 177,933.06/x
  3. Step 3: Cross multiply
    277,855.06x = 416,339.72 × 177,933.06
  4. Step 4: Simplify right side
    277,855.06x = 74,080,600,379.14
  5. Step 5: Solve for x
    x = 74,080,600,379.14/277,855.06
  6. Step 6: Final answer
    x = 266,615.98

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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.