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Finding the Fourth Proportional to 548,698.07, 757,462.23 and 412,783.90

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Solution

The fourth proportional to 548,698.07, 757,462.23 and 412,783.90 is: 569,836.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,698.07 : 757,462.23 = 412,783.90 : x
  2. Step 2: Convert to fraction form
    548,698.07/757,462.23 = 412,783.90/x
  3. Step 3: Cross multiply
    548,698.07x = 757,462.23 × 412,783.90
  4. Step 4: Simplify right side
    548,698.07x = 312,668,211,508.44
  5. Step 5: Solve for x
    x = 312,668,211,508.44/548,698.07
  6. Step 6: Final answer
    x = 569,836.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.