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Finding the Fourth Proportional to 365,147.38, 546,977.49 and 297,919

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Solution

The fourth proportional to 365,147.38, 546,977.49 and 297,919 is: 446,271.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,147.38 : 546,977.49 = 297,919 : x
  2. Step 2: Convert to fraction form
    365,147.38/546,977.49 = 297,919/x
  3. Step 3: Cross multiply
    365,147.38x = 546,977.49 × 297,919
  4. Step 4: Simplify right side
    365,147.38x = 162,954,986,843.31
  5. Step 5: Solve for x
    x = 162,954,986,843.31/365,147.38
  6. Step 6: Final answer
    x = 446,271.82

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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.