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Finding the Fourth Proportional to 351,770.71, 528,362.09 and 209,892.80

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Solution

The fourth proportional to 351,770.71, 528,362.09 and 209,892.80 is: 315,260.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,770.71 : 528,362.09 = 209,892.80 : x
  2. Step 2: Convert to fraction form
    351,770.71/528,362.09 = 209,892.80/x
  3. Step 3: Cross multiply
    351,770.71x = 528,362.09 × 209,892.80
  4. Step 4: Simplify right side
    351,770.71x = 110,899,397,434.49
  5. Step 5: Solve for x
    x = 110,899,397,434.49/351,770.71
  6. Step 6: Final answer
    x = 315,260.47

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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.