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Finding the Fourth Proportional to 645,376.12, 890,439 and 387,091.42

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Solution

The fourth proportional to 645,376.12, 890,439 and 387,091.42 is: 534,078.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,376.12 : 890,439 = 387,091.42 : x
  2. Step 2: Convert to fraction form
    645,376.12/890,439 = 387,091.42/x
  3. Step 3: Cross multiply
    645,376.12x = 890,439 × 387,091.42
  4. Step 4: Simplify right side
    645,376.12x = 344,681,296,933.38
  5. Step 5: Solve for x
    x = 344,681,296,933.38/645,376.12
  6. Step 6: Final answer
    x = 534,078.17

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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.