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Finding the Fourth Proportional to 548,769.30, 822,169.80 and 470,037.30

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Solution

The fourth proportional to 548,769.30, 822,169.80 and 470,037.30 is: 704,213.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,769.30 : 822,169.80 = 470,037.30 : x
  2. Step 2: Convert to fraction form
    548,769.30/822,169.80 = 470,037.30/x
  3. Step 3: Cross multiply
    548,769.30x = 822,169.80 × 470,037.30
  4. Step 4: Simplify right side
    548,769.30x = 386,450,472,933.54
  5. Step 5: Solve for x
    x = 386,450,472,933.54/548,769.30
  6. Step 6: Final answer
    x = 704,213.00

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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.