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Finding the Fourth Proportional to 508,437.96, 701,640.87 and 282,083.46

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Solution

The fourth proportional to 508,437.96, 701,640.87 and 282,083.46 is: 389,273.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,437.96 : 701,640.87 = 282,083.46 : x
  2. Step 2: Convert to fraction form
    508,437.96/701,640.87 = 282,083.46/x
  3. Step 3: Cross multiply
    508,437.96x = 701,640.87 × 282,083.46
  4. Step 4: Simplify right side
    508,437.96x = 197,921,284,287.01
  5. Step 5: Solve for x
    x = 197,921,284,287.01/508,437.96
  6. Step 6: Final answer
    x = 389,273.22

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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.