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Finding the Fourth Proportional to 275,597.41, 413,455.14 and 95,688.46

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Solution

The fourth proportional to 275,597.41, 413,455.14 and 95,688.46 is: 143,553.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,597.41 : 413,455.14 = 95,688.46 : x
  2. Step 2: Convert to fraction form
    275,597.41/413,455.14 = 95,688.46/x
  3. Step 3: Cross multiply
    275,597.41x = 413,455.14 × 95,688.46
  4. Step 4: Simplify right side
    275,597.41x = 39,562,885,625.68
  5. Step 5: Solve for x
    x = 39,562,885,625.68/275,597.41
  6. Step 6: Final answer
    x = 143,553.18

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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.