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Finding the Fourth Proportional to 277,838.64, 414,317.70 and 275,312.52

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Solution

The fourth proportional to 277,838.64, 414,317.70 and 275,312.52 is: 410,550.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,838.64 : 414,317.70 = 275,312.52 : x
  2. Step 2: Convert to fraction form
    277,838.64/414,317.70 = 275,312.52/x
  3. Step 3: Cross multiply
    277,838.64x = 414,317.70 × 275,312.52
  4. Step 4: Simplify right side
    277,838.64x = 114,066,850,067.60
  5. Step 5: Solve for x
    x = 114,066,850,067.60/277,838.64
  6. Step 6: Final answer
    x = 410,550.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.