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Finding the Fourth Proportional to 535,648.52, 739,194.53 and 293,946.30

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Solution

The fourth proportional to 535,648.52, 739,194.53 and 293,946.30 is: 405,645.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,648.52 : 739,194.53 = 293,946.30 : x
  2. Step 2: Convert to fraction form
    535,648.52/739,194.53 = 293,946.30/x
  3. Step 3: Cross multiply
    535,648.52x = 739,194.53 × 293,946.30
  4. Step 4: Simplify right side
    535,648.52x = 217,283,495,604.01
  5. Step 5: Solve for x
    x = 217,283,495,604.01/535,648.52
  6. Step 6: Final answer
    x = 405,645.65

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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.