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Finding the Fourth Proportional to 346,866.26, 520,389.17 and 106,974.86

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Solution

The fourth proportional to 346,866.26, 520,389.17 and 106,974.86 is: 160,489.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,866.26 : 520,389.17 = 106,974.86 : x
  2. Step 2: Convert to fraction form
    346,866.26/520,389.17 = 106,974.86/x
  3. Step 3: Cross multiply
    346,866.26x = 520,389.17 × 106,974.86
  4. Step 4: Simplify right side
    346,866.26x = 55,668,557,420.91
  5. Step 5: Solve for x
    x = 55,668,557,420.91/346,866.26
  6. Step 6: Final answer
    x = 160,489.97

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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.