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Finding the Fourth Proportional to 471,134.55, 650,170.72 and 256,275.17

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Solution

The fourth proportional to 471,134.55, 650,170.72 and 256,275.17 is: 353,662.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,134.55 : 650,170.72 = 256,275.17 : x
  2. Step 2: Convert to fraction form
    471,134.55/650,170.72 = 256,275.17/x
  3. Step 3: Cross multiply
    471,134.55x = 650,170.72 × 256,275.17
  4. Step 4: Simplify right side
    471,134.55x = 166,622,610,196.82
  5. Step 5: Solve for x
    x = 166,622,610,196.82/471,134.55
  6. Step 6: Final answer
    x = 353,662.47

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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.