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Finding the Fourth Proportional to 538,033.44, 806,582.64 and 271,572

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Solution

The fourth proportional to 538,033.44, 806,582.64 and 271,572 is: 407,122.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,033.44 : 806,582.64 = 271,572 : x
  2. Step 2: Convert to fraction form
    538,033.44/806,582.64 = 271,572/x
  3. Step 3: Cross multiply
    538,033.44x = 806,582.64 × 271,572
  4. Step 4: Simplify right side
    538,033.44x = 219,045,260,710.08
  5. Step 5: Solve for x
    x = 219,045,260,710.08/538,033.44
  6. Step 6: Final answer
    x = 407,122.02

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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.