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Finding the Fourth Proportional to 510,663.12, 704,839.23 and 295,768.50

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Solution

The fourth proportional to 510,663.12, 704,839.23 and 295,768.50 is: 408,232.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,663.12 : 704,839.23 = 295,768.50 : x
  2. Step 2: Convert to fraction form
    510,663.12/704,839.23 = 295,768.50/x
  3. Step 3: Cross multiply
    510,663.12x = 704,839.23 × 295,768.50
  4. Step 4: Simplify right side
    510,663.12x = 208,469,241,798.26
  5. Step 5: Solve for x
    x = 208,469,241,798.26/510,663.12
  6. Step 6: Final answer
    x = 408,232.42

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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.