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Finding the Fourth Proportional to 283,947.69, 424,666.44 and 252,578.01

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Solution

The fourth proportional to 283,947.69, 424,666.44 and 252,578.01 is: 377,750.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,947.69 : 424,666.44 = 252,578.01 : x
  2. Step 2: Convert to fraction form
    283,947.69/424,666.44 = 252,578.01/x
  3. Step 3: Cross multiply
    283,947.69x = 424,666.44 × 252,578.01
  4. Step 4: Simplify right side
    283,947.69x = 107,261,404,328.98
  5. Step 5: Solve for x
    x = 107,261,404,328.98/283,947.69
  6. Step 6: Final answer
    x = 377,750.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.