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Finding the Fourth Proportional to 470,620.68, 649,461.62 and 255,764.36

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Solution

The fourth proportional to 470,620.68, 649,461.62 and 255,764.36 is: 352,957.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,620.68 : 649,461.62 = 255,764.36 : x
  2. Step 2: Convert to fraction form
    470,620.68/649,461.62 = 255,764.36/x
  3. Step 3: Cross multiply
    470,620.68x = 649,461.62 × 255,764.36
  4. Step 4: Simplify right side
    470,620.68x = 166,109,135,583.86
  5. Step 5: Solve for x
    x = 166,109,135,583.86/470,620.68
  6. Step 6: Final answer
    x = 352,957.58

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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.