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Finding the Fourth Proportional to 534,716.64, 737,908.38 and 293,014.26

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Solution

The fourth proportional to 534,716.64, 737,908.38 and 293,014.26 is: 404,359.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,716.64 : 737,908.38 = 293,014.26 : x
  2. Step 2: Convert to fraction form
    534,716.64/737,908.38 = 293,014.26/x
  3. Step 3: Cross multiply
    534,716.64x = 737,908.38 × 293,014.26
  4. Step 4: Simplify right side
    534,716.64x = 216,217,677,913.50
  5. Step 5: Solve for x
    x = 216,217,677,913.50/534,716.64
  6. Step 6: Final answer
    x = 404,359.36

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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.