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Finding the Fourth Proportional to 809,779.20, 1,215,187.20 and 472,819.20

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Solution

The fourth proportional to 809,779.20, 1,215,187.20 and 472,819.20 is: 709,531.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,779.20 : 1,215,187.20 = 472,819.20 : x
  2. Step 2: Convert to fraction form
    809,779.20/1,215,187.20 = 472,819.20/x
  3. Step 3: Cross multiply
    809,779.20x = 1,215,187.20 × 472,819.20
  4. Step 4: Simplify right side
    809,779.20x = 574,563,839,754.24
  5. Step 5: Solve for x
    x = 574,563,839,754.24/809,779.20
  6. Step 6: Final answer
    x = 709,531.49

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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.