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Finding the Fourth Proportional to 645,206.12, 890,361.18 and 354,815.24

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Solution

The fourth proportional to 645,206.12, 890,361.18 and 354,815.24 is: 489,632.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,206.12 : 890,361.18 = 354,815.24 : x
  2. Step 2: Convert to fraction form
    645,206.12/890,361.18 = 354,815.24/x
  3. Step 3: Cross multiply
    645,206.12x = 890,361.18 × 354,815.24
  4. Step 4: Simplify right side
    645,206.12x = 315,913,715,768.38
  5. Step 5: Solve for x
    x = 315,913,715,768.38/645,206.12
  6. Step 6: Final answer
    x = 489,632.24

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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.