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Finding the Fourth Proportional to 645,113.14, 890,286.50 and 358,638

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Solution

The fourth proportional to 645,113.14, 890,286.50 and 358,638 is: 494,937.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,113.14 : 890,286.50 = 358,638 : x
  2. Step 2: Convert to fraction form
    645,113.14/890,286.50 = 358,638/x
  3. Step 3: Cross multiply
    645,113.14x = 890,286.50 × 358,638
  4. Step 4: Simplify right side
    645,113.14x = 319,290,569,787
  5. Step 5: Solve for x
    x = 319,290,569,787/645,113.14
  6. Step 6: Final answer
    x = 494,937.32

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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.