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Finding the Fourth Proportional to 319,689.64, 441,174.90 and 176,446.54

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Solution

The fourth proportional to 319,689.64, 441,174.90 and 176,446.54 is: 243,497.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,689.64 : 441,174.90 = 176,446.54 : x
  2. Step 2: Convert to fraction form
    319,689.64/441,174.90 = 176,446.54/x
  3. Step 3: Cross multiply
    319,689.64x = 441,174.90 × 176,446.54
  4. Step 4: Simplify right side
    319,689.64x = 77,843,784,639.85
  5. Step 5: Solve for x
    x = 77,843,784,639.85/319,689.64
  6. Step 6: Final answer
    x = 243,497.99

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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.