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Finding the Fourth Proportional to 493,225.40, 739,838.10 and 177,692.60

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Solution

The fourth proportional to 493,225.40, 739,838.10 and 177,692.60 is: 266,538.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,225.40 : 739,838.10 = 177,692.60 : x
  2. Step 2: Convert to fraction form
    493,225.40/739,838.10 = 177,692.60/x
  3. Step 3: Cross multiply
    493,225.40x = 739,838.10 × 177,692.60
  4. Step 4: Simplify right side
    493,225.40x = 131,463,755,568.06
  5. Step 5: Solve for x
    x = 131,463,755,568.06/493,225.40
  6. Step 6: Final answer
    x = 266,538.90

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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.