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Finding the Fourth Proportional to 591,841, 816,753.54 and 323,569

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Solution

The fourth proportional to 591,841, 816,753.54 and 323,569 is: 446,532.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,841 : 816,753.54 = 323,569 : x
  2. Step 2: Convert to fraction form
    591,841/816,753.54 = 323,569/x
  3. Step 3: Cross multiply
    591,841x = 816,753.54 × 323,569
  4. Step 4: Simplify right side
    591,841x = 264,276,126,184.26
  5. Step 5: Solve for x
    x = 264,276,126,184.26/591,841
  6. Step 6: Final answer
    x = 446,532.31

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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.