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Finding the Fourth Proportional to 645,148.66, 890,361.86 and 354,811.38

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Solution

The fourth proportional to 645,148.66, 890,361.86 and 354,811.38 is: 489,670.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,148.66 : 890,361.86 = 354,811.38 : x
  2. Step 2: Convert to fraction form
    645,148.66/890,361.86 = 354,811.38/x
  3. Step 3: Cross multiply
    645,148.66x = 890,361.86 × 354,811.38
  4. Step 4: Simplify right side
    645,148.66x = 315,910,520,245.97
  5. Step 5: Solve for x
    x = 315,910,520,245.97/645,148.66
  6. Step 6: Final answer
    x = 489,670.89

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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.