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Finding the Fourth Proportional to 277,948.80, 416,478.24 and 270,567.54

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Solution

The fourth proportional to 277,948.80, 416,478.24 and 270,567.54 is: 405,418.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,948.80 : 416,478.24 = 270,567.54 : x
  2. Step 2: Convert to fraction form
    277,948.80/416,478.24 = 270,567.54/x
  3. Step 3: Cross multiply
    277,948.80x = 416,478.24 × 270,567.54
  4. Step 4: Simplify right side
    277,948.80x = 112,685,492,860.33
  5. Step 5: Solve for x
    x = 112,685,492,860.33/277,948.80
  6. Step 6: Final answer
    x = 405,418.17

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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.