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Finding the Fourth Proportional to 299,780.13, 413,696.64 and 165,644.13

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Solution

The fourth proportional to 299,780.13, 413,696.64 and 165,644.13 is: 228,588.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,780.13 : 413,696.64 = 165,644.13 : x
  2. Step 2: Convert to fraction form
    299,780.13/413,696.64 = 165,644.13/x
  3. Step 3: Cross multiply
    299,780.13x = 413,696.64 × 165,644.13
  4. Step 4: Simplify right side
    299,780.13x = 68,526,420,016.72
  5. Step 5: Solve for x
    x = 68,526,420,016.72/299,780.13
  6. Step 6: Final answer
    x = 228,588.93

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1.5x scale

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.