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Finding the Fourth Proportional to 591,847, 816,751.74 and 323,575

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Solution

The fourth proportional to 591,847, 816,751.74 and 323,575 is: 446,535.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,847 : 816,751.74 = 323,575 : x
  2. Step 2: Convert to fraction form
    591,847/816,751.74 = 323,575/x
  3. Step 3: Cross multiply
    591,847x = 816,751.74 × 323,575
  4. Step 4: Simplify right side
    591,847x = 264,280,444,270.50
  5. Step 5: Solve for x
    x = 264,280,444,270.50/591,847
  6. Step 6: Final answer
    x = 446,535.07

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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.