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Finding the Fourth Proportional to 543,208.42, 814,628.07 and 188,139.46

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Solution

The fourth proportional to 543,208.42, 814,628.07 and 188,139.46 is: 282,145.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,208.42 : 814,628.07 = 188,139.46 : x
  2. Step 2: Convert to fraction form
    543,208.42/814,628.07 = 188,139.46/x
  3. Step 3: Cross multiply
    543,208.42x = 814,628.07 × 188,139.46
  4. Step 4: Simplify right side
    543,208.42x = 153,263,685,190.64
  5. Step 5: Solve for x
    x = 153,263,685,190.64/543,208.42
  6. Step 6: Final answer
    x = 282,145.27

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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.