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Finding the Fourth Proportional to 471,739.02, 651,000.06 and 256,879.08

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Solution

The fourth proportional to 471,739.02, 651,000.06 and 256,879.08 is: 354,493.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,739.02 : 651,000.06 = 256,879.08 : x
  2. Step 2: Convert to fraction form
    471,739.02/651,000.06 = 256,879.08/x
  3. Step 3: Cross multiply
    471,739.02x = 651,000.06 × 256,879.08
  4. Step 4: Simplify right side
    471,739.02x = 167,228,296,492.75
  5. Step 5: Solve for x
    x = 167,228,296,492.75/471,739.02
  6. Step 6: Final answer
    x = 354,493.25

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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.