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Finding the Fourth Proportional to 277,594.88, 416,357.76 and 90,590.72

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Solution

The fourth proportional to 277,594.88, 416,357.76 and 90,590.72 is: 135,874.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,594.88 : 416,357.76 = 90,590.72 : x
  2. Step 2: Convert to fraction form
    277,594.88/416,357.76 = 90,590.72/x
  3. Step 3: Cross multiply
    277,594.88x = 416,357.76 × 90,590.72
  4. Step 4: Simplify right side
    277,594.88x = 37,718,149,255.99
  5. Step 5: Solve for x
    x = 37,718,149,255.99/277,594.88
  6. Step 6: Final answer
    x = 135,874.80

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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.