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Finding the Fourth Proportional to 591,487.29, 816,257.61 and 333,314.76

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Solution

The fourth proportional to 591,487.29, 816,257.61 and 333,314.76 is: 459,977.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,487.29 : 816,257.61 = 333,314.76 : x
  2. Step 2: Convert to fraction form
    591,487.29/816,257.61 = 333,314.76/x
  3. Step 3: Cross multiply
    591,487.29x = 816,257.61 × 333,314.76
  4. Step 4: Simplify right side
    591,487.29x = 272,070,709,375.32
  5. Step 5: Solve for x
    x = 272,070,709,375.32/591,487.29
  6. Step 6: Final answer
    x = 459,977.27

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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.