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Finding the Fourth Proportional to 548,201.64, 822,396.22 and 188,355.24

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Solution

The fourth proportional to 548,201.64, 822,396.22 and 188,355.24 is: 282,565.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,201.64 : 822,396.22 = 188,355.24 : x
  2. Step 2: Convert to fraction form
    548,201.64/822,396.22 = 188,355.24/x
  3. Step 3: Cross multiply
    548,201.64x = 822,396.22 × 188,355.24
  4. Step 4: Simplify right side
    548,201.64x = 154,902,637,393.19
  5. Step 5: Solve for x
    x = 154,902,637,393.19/548,201.64
  6. Step 6: Final answer
    x = 282,565.07

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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.