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Finding the Fourth Proportional to 261,485.47, 361,022.53 and 200,946.07

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Solution

The fourth proportional to 261,485.47, 361,022.53 and 200,946.07 is: 277,438.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,485.47 : 361,022.53 = 200,946.07 : x
  2. Step 2: Convert to fraction form
    261,485.47/361,022.53 = 200,946.07/x
  3. Step 3: Cross multiply
    261,485.47x = 361,022.53 × 200,946.07
  4. Step 4: Simplify right side
    261,485.47x = 72,546,058,584.96
  5. Step 5: Solve for x
    x = 72,546,058,584.96/261,485.47
  6. Step 6: Final answer
    x = 277,438.20

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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.