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Finding the Fourth Proportional to 490,204.16, 735,368.88 and 174,692.96

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Solution

The fourth proportional to 490,204.16, 735,368.88 and 174,692.96 is: 262,061.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,204.16 : 735,368.88 = 174,692.96 : x
  2. Step 2: Convert to fraction form
    490,204.16/735,368.88 = 174,692.96/x
  3. Step 3: Cross multiply
    490,204.16x = 735,368.88 × 174,692.96
  4. Step 4: Simplify right side
    490,204.16x = 128,463,766,339.09
  5. Step 5: Solve for x
    x = 128,463,766,339.09/490,204.16
  6. Step 6: Final answer
    x = 262,061.76

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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.