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Finding the Fourth Proportional to 508,427.47, 701,630.13 and 282,072.97

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Solution

The fourth proportional to 508,427.47, 701,630.13 and 282,072.97 is: 389,260.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,427.47 : 701,630.13 = 282,072.97 : x
  2. Step 2: Convert to fraction form
    508,427.47/701,630.13 = 282,072.97/x
  3. Step 3: Cross multiply
    508,427.47x = 701,630.13 × 282,072.97
  4. Step 4: Simplify right side
    508,427.47x = 197,910,894,610.59
  5. Step 5: Solve for x
    x = 197,910,894,610.59/508,427.47
  6. Step 6: Final answer
    x = 389,260.82

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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.