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Finding the Fourth Proportional to 594,863.25, 820,824.70 and 340,165.23

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Solution

The fourth proportional to 594,863.25, 820,824.70 and 340,165.23 is: 469,378.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,863.25 : 820,824.70 = 340,165.23 : x
  2. Step 2: Convert to fraction form
    594,863.25/820,824.70 = 340,165.23/x
  3. Step 3: Cross multiply
    594,863.25x = 820,824.70 × 340,165.23
  4. Step 4: Simplify right side
    594,863.25x = 279,216,022,865.18
  5. Step 5: Solve for x
    x = 279,216,022,865.18/594,863.25
  6. Step 6: Final answer
    x = 469,378.50

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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.