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Finding the Fourth Proportional to 508,104.56, 701,133.76 and 293,313.82

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Solution

The fourth proportional to 508,104.56, 701,133.76 and 293,313.82 is: 404,743.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,104.56 : 701,133.76 = 293,313.82 : x
  2. Step 2: Convert to fraction form
    508,104.56/701,133.76 = 293,313.82/x
  3. Step 3: Cross multiply
    508,104.56x = 701,133.76 × 293,313.82
  4. Step 4: Simplify right side
    508,104.56x = 205,652,221,476.56
  5. Step 5: Solve for x
    x = 205,652,221,476.56/508,104.56
  6. Step 6: Final answer
    x = 404,743.90

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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.