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Finding the Fourth Proportional to 303,295.29, 418,532.89 and 165,466.01

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Solution

The fourth proportional to 303,295.29, 418,532.89 and 165,466.01 is: 228,335.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,295.29 : 418,532.89 = 165,466.01 : x
  2. Step 2: Convert to fraction form
    303,295.29/418,532.89 = 165,466.01/x
  3. Step 3: Cross multiply
    303,295.29x = 418,532.89 × 165,466.01
  4. Step 4: Simplify right side
    303,295.29x = 69,252,967,362.07
  5. Step 5: Solve for x
    x = 69,252,967,362.07/303,295.29
  6. Step 6: Final answer
    x = 228,335.12

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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.