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Finding the Fourth Proportional to 548,805.16, 823,305.66 and 194,025.16

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Solution

The fourth proportional to 548,805.16, 823,305.66 and 194,025.16 is: 291,072.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,805.16 : 823,305.66 = 194,025.16 : x
  2. Step 2: Convert to fraction form
    548,805.16/823,305.66 = 194,025.16/x
  3. Step 3: Cross multiply
    548,805.16x = 823,305.66 × 194,025.16
  4. Step 4: Simplify right side
    548,805.16x = 159,742,012,410.41
  5. Step 5: Solve for x
    x = 159,742,012,410.41/548,805.16
  6. Step 6: Final answer
    x = 291,072.36

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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.