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Finding the Fourth Proportional to 594,862.38, 820,911.13 and 340,213.57

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Solution

The fourth proportional to 594,862.38, 820,911.13 and 340,213.57 is: 469,495.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,862.38 : 820,911.13 = 340,213.57 : x
  2. Step 2: Convert to fraction form
    594,862.38/820,911.13 = 340,213.57/x
  3. Step 3: Cross multiply
    594,862.38x = 820,911.13 × 340,213.57
  4. Step 4: Simplify right side
    594,862.38x = 279,285,103,287.22
  5. Step 5: Solve for x
    x = 279,285,103,287.22/594,862.38
  6. Step 6: Final answer
    x = 469,495.32

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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.