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Finding the Fourth Proportional to 470,436.00, 649,215.05 and 255,589.22

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Solution

The fourth proportional to 470,436.00, 649,215.05 and 255,589.22 is: 352,720.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,436.00 : 649,215.05 = 255,589.22 : x
  2. Step 2: Convert to fraction form
    470,436.00/649,215.05 = 255,589.22/x
  3. Step 3: Cross multiply
    470,436.00x = 649,215.05 × 255,589.22
  4. Step 4: Simplify right side
    470,436.00x = 165,932,370,024.54
  5. Step 5: Solve for x
    x = 165,932,370,024.54/470,436.00
  6. Step 6: Final answer
    x = 352,720.39

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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.