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Finding the Fourth Proportional to 383,452.19, 575,181.93 and 102,969.44

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Solution

The fourth proportional to 383,452.19, 575,181.93 and 102,969.44 is: 154,455.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,452.19 : 575,181.93 = 102,969.44 : x
  2. Step 2: Convert to fraction form
    383,452.19/575,181.93 = 102,969.44/x
  3. Step 3: Cross multiply
    383,452.19x = 575,181.93 × 102,969.44
  4. Step 4: Simplify right side
    383,452.19x = 59,226,158,354.31
  5. Step 5: Solve for x
    x = 59,226,158,354.31/383,452.19
  6. Step 6: Final answer
    x = 154,455.13

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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.