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Finding the Fourth Proportional to 285,952.67, 428,629.70 and 96,347.51

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Solution

The fourth proportional to 285,952.67, 428,629.70 and 96,347.51 is: 144,420.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,952.67 : 428,629.70 = 96,347.51 : x
  2. Step 2: Convert to fraction form
    285,952.67/428,629.70 = 96,347.51/x
  3. Step 3: Cross multiply
    285,952.67x = 428,629.70 × 96,347.51
  4. Step 4: Simplify right side
    285,952.67x = 41,297,404,307.05
  5. Step 5: Solve for x
    x = 41,297,404,307.05/285,952.67
  6. Step 6: Final answer
    x = 144,420.42

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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.