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Finding the Fourth Proportional to 331,574.44, 457,572.90 and 180,671.44

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Solution

The fourth proportional to 331,574.44, 457,572.90 and 180,671.44 is: 249,326.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,574.44 : 457,572.90 = 180,671.44 : x
  2. Step 2: Convert to fraction form
    331,574.44/457,572.90 = 180,671.44/x
  3. Step 3: Cross multiply
    331,574.44x = 457,572.90 × 180,671.44
  4. Step 4: Simplify right side
    331,574.44x = 82,670,354,747.98
  5. Step 5: Solve for x
    x = 82,670,354,747.98/331,574.44
  6. Step 6: Final answer
    x = 249,326.68

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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.