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Finding the Fourth Proportional to 383,546.57, 575,319.38 and 103,063.82

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Solution

The fourth proportional to 383,546.57, 575,319.38 and 103,063.82 is: 154,595.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,546.57 : 575,319.38 = 103,063.82 : x
  2. Step 2: Convert to fraction form
    383,546.57/575,319.38 = 103,063.82/x
  3. Step 3: Cross multiply
    383,546.57x = 575,319.38 × 103,063.82
  4. Step 4: Simplify right side
    383,546.57x = 59,294,609,630.92
  5. Step 5: Solve for x
    x = 59,294,609,630.92/383,546.57
  6. Step 6: Final answer
    x = 154,595.60

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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.