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Finding the Fourth Proportional to 421,846.92, 581,543.28 and 300,778.38

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Solution

The fourth proportional to 421,846.92, 581,543.28 and 300,778.38 is: 414,642.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,846.92 : 581,543.28 = 300,778.38 : x
  2. Step 2: Convert to fraction form
    421,846.92/581,543.28 = 300,778.38/x
  3. Step 3: Cross multiply
    421,846.92x = 581,543.28 × 300,778.38
  4. Step 4: Simplify right side
    421,846.92x = 174,915,645,658.29
  5. Step 5: Solve for x
    x = 174,915,645,658.29/421,846.92
  6. Step 6: Final answer
    x = 414,642.46

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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.