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Finding the Fourth Proportional to 538,462.31, 743,080.91 and 309,001.32

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Solution

The fourth proportional to 538,462.31, 743,080.91 and 309,001.32 is: 426,423.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,462.31 : 743,080.91 = 309,001.32 : x
  2. Step 2: Convert to fraction form
    538,462.31/743,080.91 = 309,001.32/x
  3. Step 3: Cross multiply
    538,462.31x = 743,080.91 × 309,001.32
  4. Step 4: Simplify right side
    538,462.31x = 229,612,980,511.80
  5. Step 5: Solve for x
    x = 229,612,980,511.80/538,462.31
  6. Step 6: Final answer
    x = 426,423.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.