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Finding the Fourth Proportional to 470,648.15, 649,499.46 and 255,788.22

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Solution

The fourth proportional to 470,648.15, 649,499.46 and 255,788.22 is: 352,990.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,648.15 : 649,499.46 = 255,788.22 : x
  2. Step 2: Convert to fraction form
    470,648.15/649,499.46 = 255,788.22/x
  3. Step 3: Cross multiply
    470,648.15x = 649,499.46 × 255,788.22
  4. Step 4: Simplify right side
    470,648.15x = 166,134,310,764.36
  5. Step 5: Solve for x
    x = 166,134,310,764.36/470,648.15
  6. Step 6: Final answer
    x = 352,990.47

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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.