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Finding the Fourth Proportional to 595,531.11, 821,838.12 and 323,599

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Solution

The fourth proportional to 595,531.11, 821,838.12 and 323,599 is: 446,569.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,531.11 : 821,838.12 = 323,599 : x
  2. Step 2: Convert to fraction form
    595,531.11/821,838.12 = 323,599/x
  3. Step 3: Cross multiply
    595,531.11x = 821,838.12 × 323,599
  4. Step 4: Simplify right side
    595,531.11x = 265,945,993,793.88
  5. Step 5: Solve for x
    x = 265,945,993,793.88/595,531.11
  6. Step 6: Final answer
    x = 446,569.44

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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.