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Finding the Fourth Proportional to 538,671.12, 743,371.13 and 296,962.35

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Solution

The fourth proportional to 538,671.12, 743,371.13 and 296,962.35 is: 409,810.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,671.12 : 743,371.13 = 296,962.35 : x
  2. Step 2: Convert to fraction form
    538,671.12/743,371.13 = 296,962.35/x
  3. Step 3: Cross multiply
    538,671.12x = 743,371.13 × 296,962.35
  4. Step 4: Simplify right side
    538,671.12x = 220,753,236,202.14
  5. Step 5: Solve for x
    x = 220,753,236,202.14/538,671.12
  6. Step 6: Final answer
    x = 409,810.79

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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.