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Finding the Fourth Proportional to 548,694.88, 757,457.80 and 412,780.59

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Solution

The fourth proportional to 548,694.88, 757,457.80 and 412,780.59 is: 569,831.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,694.88 : 757,457.80 = 412,780.59 : x
  2. Step 2: Convert to fraction form
    548,694.88/757,457.80 = 412,780.59/x
  3. Step 3: Cross multiply
    548,694.88x = 757,457.80 × 412,780.59
  4. Step 4: Simplify right side
    548,694.88x = 312,663,876,552.15
  5. Step 5: Solve for x
    x = 312,663,876,552.15/548,694.88
  6. Step 6: Final answer
    x = 569,831.96

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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.