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Finding the Fourth Proportional to 508,101.64, 701,238.06 and 293,299.36

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Solution

The fourth proportional to 508,101.64, 701,238.06 and 293,299.36 is: 404,786.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,101.64 : 701,238.06 = 293,299.36 : x
  2. Step 2: Convert to fraction form
    508,101.64/701,238.06 = 293,299.36/x
  3. Step 3: Cross multiply
    508,101.64x = 701,238.06 × 293,299.36
  4. Step 4: Simplify right side
    508,101.64x = 205,672,674,205.64
  5. Step 5: Solve for x
    x = 205,672,674,205.64/508,101.64
  6. Step 6: Final answer
    x = 404,786.48

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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.