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Finding the Fourth Proportional to 574,031.80, 860,581.14 and 200,317.24

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Solution

The fourth proportional to 574,031.80, 860,581.14 and 200,317.24 is: 300,313.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,031.80 : 860,581.14 = 200,317.24 : x
  2. Step 2: Convert to fraction form
    574,031.80/860,581.14 = 200,317.24/x
  3. Step 3: Cross multiply
    574,031.80x = 860,581.14 × 200,317.24
  4. Step 4: Simplify right side
    574,031.80x = 172,389,238,760.85
  5. Step 5: Solve for x
    x = 172,389,238,760.85/574,031.80
  6. Step 6: Final answer
    x = 300,313.05

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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.