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Finding the Fourth Proportional to 477,768.36, 716,410.76 and 211,610.48

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Solution

The fourth proportional to 477,768.36, 716,410.76 and 211,610.48 is: 317,308.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,768.36 : 716,410.76 = 211,610.48 : x
  2. Step 2: Convert to fraction form
    477,768.36/716,410.76 = 211,610.48/x
  3. Step 3: Cross multiply
    477,768.36x = 716,410.76 × 211,610.48
  4. Step 4: Simplify right side
    477,768.36x = 151,600,024,800.77
  5. Step 5: Solve for x
    x = 151,600,024,800.77/477,768.36
  6. Step 6: Final answer
    x = 317,308.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.