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Finding the Fourth Proportional to 512,077.33, 706,793.21 and 311,041.81

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Solution

The fourth proportional to 512,077.33, 706,793.21 and 311,041.81 is: 429,314.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,077.33 : 706,793.21 = 311,041.81 : x
  2. Step 2: Convert to fraction form
    512,077.33/706,793.21 = 311,041.81/x
  3. Step 3: Cross multiply
    512,077.33x = 706,793.21 × 311,041.81
  4. Step 4: Simplify right side
    512,077.33x = 219,842,239,334.11
  5. Step 5: Solve for x
    x = 219,842,239,334.11/512,077.33
  6. Step 6: Final answer
    x = 429,314.53

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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.