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Finding the Fourth Proportional to 299,465.56, 413,262.72 and 165,329.56

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Solution

The fourth proportional to 299,465.56, 413,262.72 and 165,329.56 is: 228,154.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,465.56 : 413,262.72 = 165,329.56 : x
  2. Step 2: Convert to fraction form
    299,465.56/413,262.72 = 165,329.56/x
  3. Step 3: Cross multiply
    299,465.56x = 413,262.72 × 165,329.56
  4. Step 4: Simplify right side
    299,465.56x = 68,324,543,662.00
  5. Step 5: Solve for x
    x = 68,324,543,662.00/299,465.56
  6. Step 6: Final answer
    x = 228,154.93

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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.