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Finding the Fourth Proportional to 548,437.94, 822,675.11 and 188,605.24

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Solution

The fourth proportional to 548,437.94, 822,675.11 and 188,605.24 is: 282,914.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,437.94 : 822,675.11 = 188,605.24 : x
  2. Step 2: Convert to fraction form
    548,437.94/822,675.11 = 188,605.24/x
  3. Step 3: Cross multiply
    548,437.94x = 822,675.11 × 188,605.24
  4. Step 4: Simplify right side
    548,437.94x = 155,160,836,563.58
  5. Step 5: Solve for x
    x = 155,160,836,563.58/548,437.94
  6. Step 6: Final answer
    x = 282,914.12

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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.