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Finding the Fourth Proportional to 645,137.94, 890,313.16 and 354,771.62

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Solution

The fourth proportional to 645,137.94, 890,313.16 and 354,771.62 is: 489,597.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,137.94 : 890,313.16 = 354,771.62 : x
  2. Step 2: Convert to fraction form
    645,137.94/890,313.16 = 354,771.62/x
  3. Step 3: Cross multiply
    645,137.94x = 890,313.16 × 354,771.62
  4. Step 4: Simplify right side
    645,137.94x = 315,857,842,080.52
  5. Step 5: Solve for x
    x = 315,857,842,080.52/645,137.94
  6. Step 6: Final answer
    x = 489,597.38

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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.