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Finding the Fourth Proportional to 531,909.20, 797,198.52 and 265,744.28

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Solution

The fourth proportional to 531,909.20, 797,198.52 and 265,744.28 is: 398,284.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,909.20 : 797,198.52 = 265,744.28 : x
  2. Step 2: Convert to fraction form
    531,909.20/797,198.52 = 265,744.28/x
  3. Step 3: Cross multiply
    531,909.20x = 797,198.52 × 265,744.28
  4. Step 4: Simplify right side
    531,909.20x = 211,850,946,714.47
  5. Step 5: Solve for x
    x = 211,850,946,714.47/531,909.20
  6. Step 6: Final answer
    x = 398,284.04

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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.