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Finding the Fourth Proportional to 284,812.48, 426,845 and 209,580.35

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Solution

The fourth proportional to 284,812.48, 426,845 and 209,580.35 is: 314,095.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,812.48 : 426,845 = 209,580.35 : x
  2. Step 2: Convert to fraction form
    284,812.48/426,845 = 209,580.35/x
  3. Step 3: Cross multiply
    284,812.48x = 426,845 × 209,580.35
  4. Step 4: Simplify right side
    284,812.48x = 89,458,324,495.75
  5. Step 5: Solve for x
    x = 89,458,324,495.75/284,812.48
  6. Step 6: Final answer
    x = 314,095.53

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