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Finding the Fourth Proportional to 596,619.64, 823,747 and 558,505.37

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Solution

The fourth proportional to 596,619.64, 823,747 and 558,505.37 is: 771,122.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,619.64 : 823,747 = 558,505.37 : x
  2. Step 2: Convert to fraction form
    596,619.64/823,747 = 558,505.37/x
  3. Step 3: Cross multiply
    596,619.64x = 823,747 × 558,505.37
  4. Step 4: Simplify right side
    596,619.64x = 460,067,123,021.39
  5. Step 5: Solve for x
    x = 460,067,123,021.39/596,619.64
  6. Step 6: Final answer
    x = 771,122.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.