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Finding the Fourth Proportional to 538,656.96, 743,348.94 and 296,934.33

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Solution

The fourth proportional to 538,656.96, 743,348.94 and 296,934.33 is: 409,770.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,656.96 : 743,348.94 = 296,934.33 : x
  2. Step 2: Convert to fraction form
    538,656.96/743,348.94 = 296,934.33/x
  3. Step 3: Cross multiply
    538,656.96x = 743,348.94 × 296,934.33
  4. Step 4: Simplify right side
    538,656.96x = 220,725,819,455.11
  5. Step 5: Solve for x
    x = 220,725,819,455.11/538,656.96
  6. Step 6: Final answer
    x = 409,770.66

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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.