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Finding the Fourth Proportional to 290,996.70, 436,823.10 and 224,730.60

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Solution

The fourth proportional to 290,996.70, 436,823.10 and 224,730.60 is: 337,349.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,996.70 : 436,823.10 = 224,730.60 : x
  2. Step 2: Convert to fraction form
    290,996.70/436,823.10 = 224,730.60/x
  3. Step 3: Cross multiply
    290,996.70x = 436,823.10 × 224,730.60
  4. Step 4: Simplify right side
    290,996.70x = 98,167,517,356.86
  5. Step 5: Solve for x
    x = 98,167,517,356.86/290,996.70
  6. Step 6: Final answer
    x = 337,349.25

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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.