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Finding the Fourth Proportional to 591,709.50, 816,559.11 and 323,437.50

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Solution

The fourth proportional to 591,709.50, 816,559.11 and 323,437.50 is: 446,343.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,709.50 : 816,559.11 = 323,437.50 : x
  2. Step 2: Convert to fraction form
    591,709.50/816,559.11 = 323,437.50/x
  3. Step 3: Cross multiply
    591,709.50x = 816,559.11 × 323,437.50
  4. Step 4: Simplify right side
    591,709.50x = 264,105,837,140.63
  5. Step 5: Solve for x
    x = 264,105,837,140.63/591,709.50
  6. Step 6: Final answer
    x = 446,343.75

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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.