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Finding the Fourth Proportional to 277,951.80, 416,482.74 and 270,570.54

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Solution

The fourth proportional to 277,951.80, 416,482.74 and 270,570.54 is: 405,422.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,951.80 : 416,482.74 = 270,570.54 : x
  2. Step 2: Convert to fraction form
    277,951.80/416,482.74 = 270,570.54/x
  3. Step 3: Cross multiply
    277,951.80x = 416,482.74 × 270,570.54
  4. Step 4: Simplify right side
    277,951.80x = 112,687,959,862.48
  5. Step 5: Solve for x
    x = 112,687,959,862.48/277,951.80
  6. Step 6: Final answer
    x = 405,422.67

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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.