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Finding the Fourth Proportional to 645,447.46, 890,704.82 and 358,961.38

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Solution

The fourth proportional to 645,447.46, 890,704.82 and 358,961.38 is: 495,359.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,447.46 : 890,704.82 = 358,961.38 : x
  2. Step 2: Convert to fraction form
    645,447.46/890,704.82 = 358,961.38/x
  3. Step 3: Cross multiply
    645,447.46x = 890,704.82 × 358,961.38
  4. Step 4: Simplify right side
    645,447.46x = 319,728,631,359.85
  5. Step 5: Solve for x
    x = 319,728,631,359.85/645,447.46
  6. Step 6: Final answer
    x = 495,359.66

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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.