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Finding the Fourth Proportional to 508,379.82, 701,564.43 and 282,025.50

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Solution

The fourth proportional to 508,379.82, 701,564.43 and 282,025.50 is: 389,195.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,379.82 : 701,564.43 = 282,025.50 : x
  2. Step 2: Convert to fraction form
    508,379.82/701,564.43 = 282,025.50/x
  3. Step 3: Cross multiply
    508,379.82x = 701,564.43 × 282,025.50
  4. Step 4: Simplify right side
    508,379.82x = 197,859,059,152.97
  5. Step 5: Solve for x
    x = 197,859,059,152.97/508,379.82
  6. Step 6: Final answer
    x = 389,195.34

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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.