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Finding the Fourth Proportional to 452,589.40, 678,452.10 and 168,203.80

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Solution

The fourth proportional to 452,589.40, 678,452.10 and 168,203.80 is: 252,145.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,589.40 : 678,452.10 = 168,203.80 : x
  2. Step 2: Convert to fraction form
    452,589.40/678,452.10 = 168,203.80/x
  3. Step 3: Cross multiply
    452,589.40x = 678,452.10 × 168,203.80
  4. Step 4: Simplify right side
    452,589.40x = 114,118,221,337.98
  5. Step 5: Solve for x
    x = 114,118,221,337.98/452,589.40
  6. Step 6: Final answer
    x = 252,145.15

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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.