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Finding the Fourth Proportional to 465,040, 697,382.88 and 275,553.82

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Solution

The fourth proportional to 465,040, 697,382.88 and 275,553.82 is: 413,225.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,040 : 697,382.88 = 275,553.82 : x
  2. Step 2: Convert to fraction form
    465,040/697,382.88 = 275,553.82/x
  3. Step 3: Cross multiply
    465,040x = 697,382.88 × 275,553.82
  4. Step 4: Simplify right side
    465,040x = 192,166,516,586.60
  5. Step 5: Solve for x
    x = 192,166,516,586.60/465,040
  6. Step 6: Final answer
    x = 413,225.78

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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.