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Finding the Fourth Proportional to 471,129, 650,055.30 and 267,133.86

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Solution

The fourth proportional to 471,129, 650,055.30 and 267,133.86 is: 368,586.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,129 : 650,055.30 = 267,133.86 : x
  2. Step 2: Convert to fraction form
    471,129/650,055.30 = 267,133.86/x
  3. Step 3: Cross multiply
    471,129x = 650,055.30 × 267,133.86
  4. Step 4: Simplify right side
    471,129x = 173,651,781,502.46
  5. Step 5: Solve for x
    x = 173,651,781,502.46/471,129
  6. Step 6: Final answer
    x = 368,586.48

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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.