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Finding the Fourth Proportional to 535,676.40, 739,241.16 and 293,954.64

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Solution

The fourth proportional to 535,676.40, 739,241.16 and 293,954.64 is: 405,661.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,676.40 : 739,241.16 = 293,954.64 : x
  2. Step 2: Convert to fraction form
    535,676.40/739,241.16 = 293,954.64/x
  3. Step 3: Cross multiply
    535,676.40x = 739,241.16 × 293,954.64
  4. Step 4: Simplify right side
    535,676.40x = 217,303,369,060.98
  5. Step 5: Solve for x
    x = 217,303,369,060.98/535,676.40
  6. Step 6: Final answer
    x = 405,661.64

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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.