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Finding the Fourth Proportional to 472,481.46, 709,011.56 and 188,308.34

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Solution

The fourth proportional to 472,481.46, 709,011.56 and 188,308.34 is: 282,577.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,481.46 : 709,011.56 = 188,308.34 : x
  2. Step 2: Convert to fraction form
    472,481.46/709,011.56 = 188,308.34/x
  3. Step 3: Cross multiply
    472,481.46x = 709,011.56 × 188,308.34
  4. Step 4: Simplify right side
    472,481.46x = 133,512,789,904.41
  5. Step 5: Solve for x
    x = 133,512,789,904.41/472,481.46
  6. Step 6: Final answer
    x = 282,577.84

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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.