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Finding the Fourth Proportional to 543,313.34, 814,785.39 and 188,244.46

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Solution

The fourth proportional to 543,313.34, 814,785.39 and 188,244.46 is: 282,302.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,313.34 : 814,785.39 = 188,244.46 : x
  2. Step 2: Convert to fraction form
    543,313.34/814,785.39 = 188,244.46/x
  3. Step 3: Cross multiply
    543,313.34x = 814,785.39 × 188,244.46
  4. Step 4: Simplify right side
    543,313.34x = 153,378,835,756.44
  5. Step 5: Solve for x
    x = 153,378,835,756.44/543,313.34
  6. Step 6: Final answer
    x = 282,302.72

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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.