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Finding the Fourth Proportional to 546,828.74, 820,661.76 and 247,519.52

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Solution

The fourth proportional to 546,828.74, 820,661.76 and 247,519.52 is: 371,468.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,828.74 : 820,661.76 = 247,519.52 : x
  2. Step 2: Convert to fraction form
    546,828.74/820,661.76 = 247,519.52/x
  3. Step 3: Cross multiply
    546,828.74x = 820,661.76 × 247,519.52
  4. Step 4: Simplify right side
    546,828.74x = 203,129,800,814.25
  5. Step 5: Solve for x
    x = 203,129,800,814.25/546,828.74
  6. Step 6: Final answer
    x = 371,468.78

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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.