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Finding the Fourth Proportional to 277,536.33, 416,565.54 and 262,368.09

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Solution

The fourth proportional to 277,536.33, 416,565.54 and 262,368.09 is: 393,798.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,536.33 : 416,565.54 = 262,368.09 : x
  2. Step 2: Convert to fraction form
    277,536.33/416,565.54 = 262,368.09/x
  3. Step 3: Cross multiply
    277,536.33x = 416,565.54 × 262,368.09
  4. Step 4: Simplify right side
    277,536.33x = 109,293,505,089.62
  5. Step 5: Solve for x
    x = 109,293,505,089.62/277,536.33
  6. Step 6: Final answer
    x = 393,798.91

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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.