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Finding the Fourth Proportional to 471,054.78, 650,036.88 and 256,194.72

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Solution

The fourth proportional to 471,054.78, 650,036.88 and 256,194.72 is: 353,538.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,054.78 : 650,036.88 = 256,194.72 : x
  2. Step 2: Convert to fraction form
    471,054.78/650,036.88 = 256,194.72/x
  3. Step 3: Cross multiply
    471,054.78x = 650,036.88 × 256,194.72
  4. Step 4: Simplify right side
    471,054.78x = 166,536,016,461.27
  5. Step 5: Solve for x
    x = 166,536,016,461.27/471,054.78
  6. Step 6: Final answer
    x = 353,538.53

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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.