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Finding the Fourth Proportional to 303,628.50, 419,007.33 and 169,492.50

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Solution

The fourth proportional to 303,628.50, 419,007.33 and 169,492.50 is: 233,899.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,628.50 : 419,007.33 = 169,492.50 : x
  2. Step 2: Convert to fraction form
    303,628.50/419,007.33 = 169,492.50/x
  3. Step 3: Cross multiply
    303,628.50x = 419,007.33 × 169,492.50
  4. Step 4: Simplify right side
    303,628.50x = 71,018,599,880.03
  5. Step 5: Solve for x
    x = 71,018,599,880.03/303,628.50
  6. Step 6: Final answer
    x = 233,899.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.