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Finding the Fourth Proportional to 470,609.38, 649,445 and 255,749.39

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Solution

The fourth proportional to 470,609.38, 649,445 and 255,749.39 is: 352,936.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,609.38 : 649,445 = 255,749.39 : x
  2. Step 2: Convert to fraction form
    470,609.38/649,445 = 255,749.39/x
  3. Step 3: Cross multiply
    470,609.38x = 649,445 × 255,749.39
  4. Step 4: Simplify right side
    470,609.38x = 166,095,162,588.55
  5. Step 5: Solve for x
    x = 166,095,162,588.55/470,609.38
  6. Step 6: Final answer
    x = 352,936.36

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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.