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Finding the Fourth Proportional to 594,164.20, 892,121.10 and 461,194.60

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Solution

The fourth proportional to 594,164.20, 892,121.10 and 461,194.60 is: 692,470.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,164.20 : 892,121.10 = 461,194.60 : x
  2. Step 2: Convert to fraction form
    594,164.20/892,121.10 = 461,194.60/x
  3. Step 3: Cross multiply
    594,164.20x = 892,121.10 × 461,194.60
  4. Step 4: Simplify right side
    594,164.20x = 411,441,433,866.06
  5. Step 5: Solve for x
    x = 411,441,433,866.06/594,164.20
  6. Step 6: Final answer
    x = 692,470.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.