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Finding the Fourth Proportional to 285,974.51, 428,950.98 and 86,289.57

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Solution

The fourth proportional to 285,974.51, 428,950.98 and 86,289.57 is: 129,431.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,974.51 : 428,950.98 = 86,289.57 : x
  2. Step 2: Convert to fraction form
    285,974.51/428,950.98 = 86,289.57/x
  3. Step 3: Cross multiply
    285,974.51x = 428,950.98 × 86,289.57
  4. Step 4: Simplify right side
    285,974.51x = 37,013,995,615.28
  5. Step 5: Solve for x
    x = 37,013,995,615.28/285,974.51
  6. Step 6: Final answer
    x = 129,431.10

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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.