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Finding the Fourth Proportional to 471,264.36, 650,361 and 256,412.58

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Solution

The fourth proportional to 471,264.36, 650,361 and 256,412.58 is: 353,858.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,264.36 : 650,361 = 256,412.58 : x
  2. Step 2: Convert to fraction form
    471,264.36/650,361 = 256,412.58/x
  3. Step 3: Cross multiply
    471,264.36x = 650,361 × 256,412.58
  4. Step 4: Simplify right side
    471,264.36x = 166,760,741,941.38
  5. Step 5: Solve for x
    x = 166,760,741,941.38/471,264.36
  6. Step 6: Final answer
    x = 353,858.17

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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.