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Finding the Fourth Proportional to 471,412.69, 650,537.03 and 256,548.15

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Solution

The fourth proportional to 471,412.69, 650,537.03 and 256,548.15 is: 354,029.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,412.69 : 650,537.03 = 256,548.15 : x
  2. Step 2: Convert to fraction form
    471,412.69/650,537.03 = 256,548.15/x
  3. Step 3: Cross multiply
    471,412.69x = 650,537.03 × 256,548.15
  4. Step 4: Simplify right side
    471,412.69x = 166,894,072,194.37
  5. Step 5: Solve for x
    x = 166,894,072,194.37/471,412.69
  6. Step 6: Final answer
    x = 354,029.66

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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.