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Finding the Fourth Proportional to 591,854, 816,761.40 and 323,582

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Solution

The fourth proportional to 591,854, 816,761.40 and 323,582 is: 446,544.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,854 : 816,761.40 = 323,582 : x
  2. Step 2: Convert to fraction form
    591,854/816,761.40 = 323,582/x
  3. Step 3: Cross multiply
    591,854x = 816,761.40 × 323,582
  4. Step 4: Simplify right side
    591,854x = 264,289,287,334.80
  5. Step 5: Solve for x
    x = 264,289,287,334.80/591,854
  6. Step 6: Final answer
    x = 446,544.73

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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.