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Finding the Fourth Proportional to 377,075.67, 565,797.89 and 177,415.94

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Solution

The fourth proportional to 377,075.67, 565,797.89 and 177,415.94 is: 266,210.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,075.67 : 565,797.89 = 177,415.94 : x
  2. Step 2: Convert to fraction form
    377,075.67/565,797.89 = 177,415.94/x
  3. Step 3: Cross multiply
    377,075.67x = 565,797.89 × 177,415.94
  4. Step 4: Simplify right side
    377,075.67x = 100,381,560,788.30
  5. Step 5: Solve for x
    x = 100,381,560,788.30/377,075.67
  6. Step 6: Final answer
    x = 266,210.65

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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.