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Finding the Fourth Proportional to 277,529.86, 416,460.84 and 119,758.29

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Solution

The fourth proportional to 277,529.86, 416,460.84 and 119,758.29 is: 179,709.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,529.86 : 416,460.84 = 119,758.29 : x
  2. Step 2: Convert to fraction form
    277,529.86/416,460.84 = 119,758.29/x
  3. Step 3: Cross multiply
    277,529.86x = 416,460.84 × 119,758.29
  4. Step 4: Simplify right side
    277,529.86x = 49,874,638,050.36
  5. Step 5: Solve for x
    x = 49,874,638,050.36/277,529.86
  6. Step 6: Final answer
    x = 179,709.09

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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.