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Finding the Fourth Proportional to 493,477.80, 739,763.10 and 493,175.40

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Solution

The fourth proportional to 493,477.80, 739,763.10 and 493,175.40 is: 739,309.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,477.80 : 739,763.10 = 493,175.40 : x
  2. Step 2: Convert to fraction form
    493,477.80/739,763.10 = 493,175.40/x
  3. Step 3: Cross multiply
    493,477.80x = 739,763.10 × 493,175.40
  4. Step 4: Simplify right side
    493,477.80x = 364,832,962,747.74
  5. Step 5: Solve for x
    x = 364,832,962,747.74/493,477.80
  6. Step 6: Final answer
    x = 739,309.78

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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.