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Finding the Fourth Proportional to 471,486.63, 650,651.45 and 256,628.17

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Solution

The fourth proportional to 471,486.63, 650,651.45 and 256,628.17 is: 354,146.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,486.63 : 650,651.45 = 256,628.17 : x
  2. Step 2: Convert to fraction form
    471,486.63/650,651.45 = 256,628.17/x
  3. Step 3: Cross multiply
    471,486.63x = 650,651.45 × 256,628.17
  4. Step 4: Simplify right side
    471,486.63x = 166,975,488,011.58
  5. Step 5: Solve for x
    x = 166,975,488,011.58/471,486.63
  6. Step 6: Final answer
    x = 354,146.81

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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.