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Finding the Fourth Proportional to 540,189.80, 809,118.30 and 470,205.80

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Solution

The fourth proportional to 540,189.80, 809,118.30 and 470,205.80 is: 704,293.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,189.80 : 809,118.30 = 470,205.80 : x
  2. Step 2: Convert to fraction form
    540,189.80/809,118.30 = 470,205.80/x
  3. Step 3: Cross multiply
    540,189.80x = 809,118.30 × 470,205.80
  4. Step 4: Simplify right side
    540,189.80x = 380,452,117,546.14
  5. Step 5: Solve for x
    x = 380,452,117,546.14/540,189.80
  6. Step 6: Final answer
    x = 704,293.41

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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.