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Finding the Fourth Proportional to 535,843.30, 739,423.12 and 294,087.46

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Solution

The fourth proportional to 535,843.30, 739,423.12 and 294,087.46 is: 405,818.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,843.30 : 739,423.12 = 294,087.46 : x
  2. Step 2: Convert to fraction form
    535,843.30/739,423.12 = 294,087.46/x
  3. Step 3: Cross multiply
    535,843.30x = 739,423.12 × 294,087.46
  4. Step 4: Simplify right side
    535,843.30x = 217,455,062,058.52
  5. Step 5: Solve for x
    x = 217,455,062,058.52/535,843.30
  6. Step 6: Final answer
    x = 405,818.39

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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.