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Finding the Fourth Proportional to 471,614.00, 650,840.94 and 256,757.72

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Solution

The fourth proportional to 471,614.00, 650,840.94 and 256,757.72 is: 354,333.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,614.00 : 650,840.94 = 256,757.72 : x
  2. Step 2: Convert to fraction form
    471,614.00/650,840.94 = 256,757.72/x
  3. Step 3: Cross multiply
    471,614.00x = 650,840.94 × 256,757.72
  4. Step 4: Simplify right side
    471,614.00x = 167,108,432,582.85
  5. Step 5: Solve for x
    x = 167,108,432,582.85/471,614.00
  6. Step 6: Final answer
    x = 354,333.07

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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.