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Finding the Fourth Proportional to 331,661.68, 457,693.56 and 180,758.68

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Solution

The fourth proportional to 331,661.68, 457,693.56 and 180,758.68 is: 249,447.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,661.68 : 457,693.56 = 180,758.68 : x
  2. Step 2: Convert to fraction form
    331,661.68/457,693.56 = 180,758.68/x
  3. Step 3: Cross multiply
    331,661.68x = 457,693.56 × 180,758.68
  4. Step 4: Simplify right side
    331,661.68x = 82,732,083,750.10
  5. Step 5: Solve for x
    x = 82,732,083,750.10/331,661.68
  6. Step 6: Final answer
    x = 249,447.22

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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.