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Finding the Fourth Proportional to 591,728.50, 816,585.42 and 323,456.50

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Solution

The fourth proportional to 591,728.50, 816,585.42 and 323,456.50 is: 446,370.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,728.50 : 816,585.42 = 323,456.50 : x
  2. Step 2: Convert to fraction form
    591,728.50/816,585.42 = 323,456.50/x
  3. Step 3: Cross multiply
    591,728.50x = 816,585.42 × 323,456.50
  4. Step 4: Simplify right side
    591,728.50x = 264,129,861,904.23
  5. Step 5: Solve for x
    x = 264,129,861,904.23/591,728.50
  6. Step 6: Final answer
    x = 446,370.02

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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.