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Finding the Fourth Proportional to 471,530.12, 650,719.86 and 256,676.36

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Solution

The fourth proportional to 471,530.12, 650,719.86 and 256,676.36 is: 354,217.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,530.12 : 650,719.86 = 256,676.36 : x
  2. Step 2: Convert to fraction form
    471,530.12/650,719.86 = 256,676.36/x
  3. Step 3: Cross multiply
    471,530.12x = 650,719.86 × 256,676.36
  4. Step 4: Simplify right side
    471,530.12x = 167,024,405,044.51
  5. Step 5: Solve for x
    x = 167,024,405,044.51/471,530.12
  6. Step 6: Final answer
    x = 354,217.89

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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.