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Finding the Fourth Proportional to 477,982.86, 716,809.02 and 211,929.44

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Solution

The fourth proportional to 477,982.86, 716,809.02 and 211,929.44 is: 317,820.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,982.86 : 716,809.02 = 211,929.44 : x
  2. Step 2: Convert to fraction form
    477,982.86/716,809.02 = 211,929.44/x
  3. Step 3: Cross multiply
    477,982.86x = 716,809.02 × 211,929.44
  4. Step 4: Simplify right side
    477,982.86x = 151,912,934,195.55
  5. Step 5: Solve for x
    x = 151,912,934,195.55/477,982.86
  6. Step 6: Final answer
    x = 317,820.88

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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.