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Finding the Fourth Proportional to 510,791.43, 704,267.60 and 319,472.67

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Solution

The fourth proportional to 510,791.43, 704,267.60 and 319,472.67 is: 440,481.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,791.43 : 704,267.60 = 319,472.67 : x
  2. Step 2: Convert to fraction form
    510,791.43/704,267.60 = 319,472.67/x
  3. Step 3: Cross multiply
    510,791.43x = 704,267.60 × 319,472.67
  4. Step 4: Simplify right side
    510,791.43x = 224,994,248,969.13
  5. Step 5: Solve for x
    x = 224,994,248,969.13/510,791.43
  6. Step 6: Final answer
    x = 440,481.64

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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.