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Finding the Fourth Proportional to 471,456.51, 650,623.77 and 256,610.49

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Solution

The fourth proportional to 471,456.51, 650,623.77 and 256,610.49 is: 354,129.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,456.51 : 650,623.77 = 256,610.49 : x
  2. Step 2: Convert to fraction form
    471,456.51/650,623.77 = 256,610.49/x
  3. Step 3: Cross multiply
    471,456.51x = 650,623.77 × 256,610.49
  4. Step 4: Simplify right side
    471,456.51x = 166,956,884,425.35
  5. Step 5: Solve for x
    x = 166,956,884,425.35/471,456.51
  6. Step 6: Final answer
    x = 354,129.98

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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.