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Finding the Fourth Proportional to 331,410.60, 457,346.38 and 180,507.60

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Solution

The fourth proportional to 331,410.60, 457,346.38 and 180,507.60 is: 249,100.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,410.60 : 457,346.38 = 180,507.60 : x
  2. Step 2: Convert to fraction form
    331,410.60/457,346.38 = 180,507.60/x
  3. Step 3: Cross multiply
    331,410.60x = 457,346.38 × 180,507.60
  4. Step 4: Simplify right side
    331,410.60x = 82,554,497,422.49
  5. Step 5: Solve for x
    x = 82,554,497,422.49/331,410.60
  6. Step 6: Final answer
    x = 249,100.35

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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.