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Finding the Fourth Proportional to 591,725, 816,580.50 and 323,453

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Solution

The fourth proportional to 591,725, 816,580.50 and 323,453 is: 446,365.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,725 : 816,580.50 = 323,453 : x
  2. Step 2: Convert to fraction form
    591,725/816,580.50 = 323,453/x
  3. Step 3: Cross multiply
    591,725x = 816,580.50 × 323,453
  4. Step 4: Simplify right side
    591,725x = 264,125,412,466.50
  5. Step 5: Solve for x
    x = 264,125,412,466.50/591,725
  6. Step 6: Final answer
    x = 446,365.14

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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.