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Finding the Fourth Proportional to 574,483.12, 862,118.34 and 200,506.12

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Solution

The fourth proportional to 574,483.12, 862,118.34 and 200,506.12 is: 300,896.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,483.12 : 862,118.34 = 200,506.12 : x
  2. Step 2: Convert to fraction form
    574,483.12/862,118.34 = 200,506.12/x
  3. Step 3: Cross multiply
    574,483.12x = 862,118.34 × 200,506.12
  4. Step 4: Simplify right side
    574,483.12x = 172,860,003,334.24
  5. Step 5: Solve for x
    x = 172,860,003,334.24/574,483.12
  6. Step 6: Final answer
    x = 300,896.58

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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.