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Finding the Fourth Proportional to 277,498.37, 382,628.53 and 205,006.16

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Solution

The fourth proportional to 277,498.37, 382,628.53 and 205,006.16 is: 282,672.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,498.37 : 382,628.53 = 205,006.16 : x
  2. Step 2: Convert to fraction form
    277,498.37/382,628.53 = 205,006.16/x
  3. Step 3: Cross multiply
    277,498.37x = 382,628.53 × 205,006.16
  4. Step 4: Simplify right side
    277,498.37x = 78,441,203,216.09
  5. Step 5: Solve for x
    x = 78,441,203,216.09/277,498.37
  6. Step 6: Final answer
    x = 282,672.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.