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Finding the Fourth Proportional to 546,767.85, 820,151.78 and 447,040.65

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Solution

The fourth proportional to 546,767.85, 820,151.78 and 447,040.65 is: 670,560.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,767.85 : 820,151.78 = 447,040.65 : x
  2. Step 2: Convert to fraction form
    546,767.85/820,151.78 = 447,040.65/x
  3. Step 3: Cross multiply
    546,767.85x = 820,151.78 × 447,040.65
  4. Step 4: Simplify right side
    546,767.85x = 366,641,182,594.65
  5. Step 5: Solve for x
    x = 366,641,182,594.65/546,767.85
  6. Step 6: Final answer
    x = 670,560.98

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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.