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Finding the Fourth Proportional to 477,764.37, 716,404.77 and 211,606.47

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Solution

The fourth proportional to 477,764.37, 716,404.77 and 211,606.47 is: 317,302.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,764.37 : 716,404.77 = 211,606.47 : x
  2. Step 2: Convert to fraction form
    477,764.37/716,404.77 = 211,606.47/x
  3. Step 3: Cross multiply
    477,764.37x = 716,404.77 × 211,606.47
  4. Step 4: Simplify right side
    477,764.37x = 151,595,884,470.86
  5. Step 5: Solve for x
    x = 151,595,884,470.86/477,764.37
  6. Step 6: Final answer
    x = 317,302.62

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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.