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Finding the Fourth Proportional to 297,653.82, 446,542.23 and 97,986.18

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Solution

The fourth proportional to 297,653.82, 446,542.23 and 97,986.18 is: 146,999.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,653.82 : 446,542.23 = 97,986.18 : x
  2. Step 2: Convert to fraction form
    297,653.82/446,542.23 = 97,986.18/x
  3. Step 3: Cross multiply
    297,653.82x = 446,542.23 × 97,986.18
  4. Step 4: Simplify right side
    297,653.82x = 43,754,967,326.38
  5. Step 5: Solve for x
    x = 43,754,967,326.38/297,653.82
  6. Step 6: Final answer
    x = 146,999.52

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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.