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Finding the Fourth Proportional to 591,415.50, 816,153.40 and 323,143.50

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Solution

The fourth proportional to 591,415.50, 816,153.40 and 323,143.50 is: 445,938.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,415.50 : 816,153.40 = 323,143.50 : x
  2. Step 2: Convert to fraction form
    591,415.50/816,153.40 = 323,143.50/x
  3. Step 3: Cross multiply
    591,415.50x = 816,153.40 × 323,143.50
  4. Step 4: Simplify right side
    591,415.50x = 263,734,666,212.90
  5. Step 5: Solve for x
    x = 263,734,666,212.90/591,415.50
  6. Step 6: Final answer
    x = 445,938.04

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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.