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Finding the Fourth Proportional to 383,581.33, 575,371.17 and 103,098.58

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Solution

The fourth proportional to 383,581.33, 575,371.17 and 103,098.58 is: 154,647.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,581.33 : 575,371.17 = 103,098.58 : x
  2. Step 2: Convert to fraction form
    383,581.33/575,371.17 = 103,098.58/x
  3. Step 3: Cross multiply
    383,581.33x = 575,371.17 × 103,098.58
  4. Step 4: Simplify right side
    383,581.33x = 59,319,950,599.94
  5. Step 5: Solve for x
    x = 59,319,950,599.94/383,581.33
  6. Step 6: Final answer
    x = 154,647.65

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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.