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Finding the Fourth Proportional to 501,699.69, 692,478.32 and 310,604.49

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Solution

The fourth proportional to 501,699.69, 692,478.32 and 310,604.49 is: 428,716.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,699.69 : 692,478.32 = 310,604.49 : x
  2. Step 2: Convert to fraction form
    501,699.69/692,478.32 = 310,604.49/x
  3. Step 3: Cross multiply
    501,699.69x = 692,478.32 × 310,604.49
  4. Step 4: Simplify right side
    501,699.69x = 215,086,873,866.63
  5. Step 5: Solve for x
    x = 215,086,873,866.63/501,699.69
  6. Step 6: Final answer
    x = 428,716.38

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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.