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Finding the Fourth Proportional to 508,134.24, 701,296.56 and 293,228.64

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Solution

The fourth proportional to 508,134.24, 701,296.56 and 293,228.64 is: 404,696.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,134.24 : 701,296.56 = 293,228.64 : x
  2. Step 2: Convert to fraction form
    508,134.24/701,296.56 = 293,228.64/x
  3. Step 3: Cross multiply
    508,134.24x = 701,296.56 × 293,228.64
  4. Step 4: Simplify right side
    508,134.24x = 205,640,236,525.48
  5. Step 5: Solve for x
    x = 205,640,236,525.48/508,134.24
  6. Step 6: Final answer
    x = 404,696.67

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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.