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Finding the Fourth Proportional to 471,116.81, 650,256.73 and 267,287.06

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Solution

The fourth proportional to 471,116.81, 650,256.73 and 267,287.06 is: 368,921.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,116.81 : 650,256.73 = 267,287.06 : x
  2. Step 2: Convert to fraction form
    471,116.81/650,256.73 = 267,287.06/x
  3. Step 3: Cross multiply
    471,116.81x = 650,256.73 × 267,287.06
  4. Step 4: Simplify right side
    471,116.81x = 173,805,210,564.34
  5. Step 5: Solve for x
    x = 173,805,210,564.34/471,116.81
  6. Step 6: Final answer
    x = 368,921.69

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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.