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Finding the Fourth Proportional to 399,456.09, 599,151.33 and 118,973.34

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Solution

The fourth proportional to 399,456.09, 599,151.33 and 118,973.34 is: 178,450.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,456.09 : 599,151.33 = 118,973.34 : x
  2. Step 2: Convert to fraction form
    399,456.09/599,151.33 = 118,973.34/x
  3. Step 3: Cross multiply
    399,456.09x = 599,151.33 × 118,973.34
  4. Step 4: Simplify right side
    399,456.09x = 71,283,034,895.54
  5. Step 5: Solve for x
    x = 71,283,034,895.54/399,456.09
  6. Step 6: Final answer
    x = 178,450.24

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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.