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Finding the Fourth Proportional to 290,423.20, 435,647.60 and 164,061.60

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Solution

The fourth proportional to 290,423.20, 435,647.60 and 164,061.60 is: 246,099.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,423.20 : 435,647.60 = 164,061.60 : x
  2. Step 2: Convert to fraction form
    290,423.20/435,647.60 = 164,061.60/x
  3. Step 3: Cross multiply
    290,423.20x = 435,647.60 × 164,061.60
  4. Step 4: Simplify right side
    290,423.20x = 71,473,042,292.16
  5. Step 5: Solve for x
    x = 71,473,042,292.16/290,423.20
  6. Step 6: Final answer
    x = 246,099.63

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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.