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Finding the Fourth Proportional to 470,776.86, 649,676.30 and 255,917.34

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Solution

The fourth proportional to 470,776.86, 649,676.30 and 255,917.34 is: 353,168.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,776.86 : 649,676.30 = 255,917.34 : x
  2. Step 2: Convert to fraction form
    470,776.86/649,676.30 = 255,917.34/x
  3. Step 3: Cross multiply
    470,776.86x = 649,676.30 × 255,917.34
  4. Step 4: Simplify right side
    470,776.86x = 166,263,429,277.46
  5. Step 5: Solve for x
    x = 166,263,429,277.46/470,776.86
  6. Step 6: Final answer
    x = 353,168.23

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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.