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Finding the Fourth Proportional to 548,451.96, 822,696.12 and 188,619.24

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Solution

The fourth proportional to 548,451.96, 822,696.12 and 188,619.24 is: 282,935.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,451.96 : 822,696.12 = 188,619.24 : x
  2. Step 2: Convert to fraction form
    548,451.96/822,696.12 = 188,619.24/x
  3. Step 3: Cross multiply
    548,451.96x = 822,696.12 × 188,619.24
  4. Step 4: Simplify right side
    548,451.96x = 155,176,316,905.35
  5. Step 5: Solve for x
    x = 155,176,316,905.35/548,451.96
  6. Step 6: Final answer
    x = 282,935.11

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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.