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Finding the Fourth Proportional to 548,645.26, 822,884.75 and 149,317.16

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Solution

The fourth proportional to 548,645.26, 822,884.75 and 149,317.16 is: 223,953.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,645.26 : 822,884.75 = 149,317.16 : x
  2. Step 2: Convert to fraction form
    548,645.26/822,884.75 = 149,317.16/x
  3. Step 3: Cross multiply
    548,645.26x = 822,884.75 × 149,317.16
  4. Step 4: Simplify right side
    548,645.26x = 122,870,813,877.31
  5. Step 5: Solve for x
    x = 122,870,813,877.31/548,645.26
  6. Step 6: Final answer
    x = 223,953.11

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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.