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Finding the Fourth Proportional to 331,368.38, 457,301.32 and 188,141.76

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Solution

The fourth proportional to 331,368.38, 457,301.32 and 188,141.76 is: 259,642.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,368.38 : 457,301.32 = 188,141.76 : x
  2. Step 2: Convert to fraction form
    331,368.38/457,301.32 = 188,141.76/x
  3. Step 3: Cross multiply
    331,368.38x = 457,301.32 × 188,141.76
  4. Step 4: Simplify right side
    331,368.38x = 86,037,475,195.12
  5. Step 5: Solve for x
    x = 86,037,475,195.12/331,368.38
  6. Step 6: Final answer
    x = 259,642.98

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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.