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Finding the Fourth Proportional to 471,554.36, 650,738.32 and 256,696.20

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Solution

The fourth proportional to 471,554.36, 650,738.32 and 256,696.20 is: 354,237.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,554.36 : 650,738.32 = 256,696.20 : x
  2. Step 2: Convert to fraction form
    471,554.36/650,738.32 = 256,696.20/x
  3. Step 3: Cross multiply
    471,554.36x = 650,738.32 × 256,696.20
  4. Step 4: Simplify right side
    471,554.36x = 167,042,053,938.38
  5. Step 5: Solve for x
    x = 167,042,053,938.38/471,554.36
  6. Step 6: Final answer
    x = 354,237.11

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Why These Related Problems?

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