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Finding the Fourth Proportional to 377,609.73, 566,248.41 and 200,075.82

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Solution

The fourth proportional to 377,609.73, 566,248.41 and 200,075.82 is: 300,025.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,609.73 : 566,248.41 = 200,075.82 : x
  2. Step 2: Convert to fraction form
    377,609.73/566,248.41 = 200,075.82/x
  3. Step 3: Cross multiply
    377,609.73x = 566,248.41 × 200,075.82
  4. Step 4: Simplify right side
    377,609.73x = 113,292,614,954.45
  5. Step 5: Solve for x
    x = 113,292,614,954.45/377,609.73
  6. Step 6: Final answer
    x = 300,025.68

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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.