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Finding the Fourth Proportional to 538,988.64, 809,043.70 and 396,994.24

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Solution

The fourth proportional to 538,988.64, 809,043.70 and 396,994.24 is: 595,904.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,988.64 : 809,043.70 = 396,994.24 : x
  2. Step 2: Convert to fraction form
    538,988.64/809,043.70 = 396,994.24/x
  3. Step 3: Cross multiply
    538,988.64x = 809,043.70 × 396,994.24
  4. Step 4: Simplify right side
    538,988.64x = 321,185,688,808.29
  5. Step 5: Solve for x
    x = 321,185,688,808.29/538,988.64
  6. Step 6: Final answer
    x = 595,904.38

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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.