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Finding the Fourth Proportional to 538,447.26, 743,062.14 and 296,738.50

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Solution

The fourth proportional to 538,447.26, 743,062.14 and 296,738.50 is: 409,501.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,447.26 : 743,062.14 = 296,738.50 : x
  2. Step 2: Convert to fraction form
    538,447.26/743,062.14 = 296,738.50/x
  3. Step 3: Cross multiply
    538,447.26x = 743,062.14 × 296,738.50
  4. Step 4: Simplify right side
    538,447.26x = 220,495,144,830.39
  5. Step 5: Solve for x
    x = 220,495,144,830.39/538,447.26
  6. Step 6: Final answer
    x = 409,501.84

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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.