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Finding the Fourth Proportional to 382,813, 574,175.76 and 102,352.12

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Solution

The fourth proportional to 382,813, 574,175.76 and 102,352.12 is: 153,516.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,813 : 574,175.76 = 102,352.12 : x
  2. Step 2: Convert to fraction form
    382,813/574,175.76 = 102,352.12/x
  3. Step 3: Cross multiply
    382,813x = 574,175.76 × 102,352.12
  4. Step 4: Simplify right side
    382,813x = 58,768,106,288.61
  5. Step 5: Solve for x
    x = 58,768,106,288.61/382,813
  6. Step 6: Final answer
    x = 153,516.49

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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.