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Finding the Fourth Proportional to 492,692.95, 738,975.88 and 155,767.83

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Solution

The fourth proportional to 492,692.95, 738,975.88 and 155,767.83 is: 233,631.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,692.95 : 738,975.88 = 155,767.83 : x
  2. Step 2: Convert to fraction form
    492,692.95/738,975.88 = 155,767.83/x
  3. Step 3: Cross multiply
    492,692.95x = 738,975.88 × 155,767.83
  4. Step 4: Simplify right side
    492,692.95x = 115,108,669,249.94
  5. Step 5: Solve for x
    x = 115,108,669,249.94/492,692.95
  6. Step 6: Final answer
    x = 233,631.65

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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.