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Finding the Fourth Proportional to 471,163.86, 650,208.06 and 256,305.15

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Solution

The fourth proportional to 471,163.86, 650,208.06 and 256,305.15 is: 353,702.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,163.86 : 650,208.06 = 256,305.15 : x
  2. Step 2: Convert to fraction form
    471,163.86/650,208.06 = 256,305.15/x
  3. Step 3: Cross multiply
    471,163.86x = 650,208.06 × 256,305.15
  4. Step 4: Simplify right side
    471,163.86x = 166,651,674,349.51
  5. Step 5: Solve for x
    x = 166,651,674,349.51/471,163.86
  6. Step 6: Final answer
    x = 353,702.16

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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.