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Finding the Fourth Proportional to 331,281.42, 457,173.90 and 188,045.88

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Solution

The fourth proportional to 331,281.42, 457,173.90 and 188,045.88 is: 259,506.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,281.42 : 457,173.90 = 188,045.88 : x
  2. Step 2: Convert to fraction form
    331,281.42/457,173.90 = 188,045.88/x
  3. Step 3: Cross multiply
    331,281.42x = 457,173.90 × 188,045.88
  4. Step 4: Simplify right side
    331,281.42x = 85,969,668,338.53
  5. Step 5: Solve for x
    x = 85,969,668,338.53/331,281.42
  6. Step 6: Final answer
    x = 259,506.46

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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.