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Finding the Fourth Proportional to 299,693.91, 413,577.59 and 165,557.91

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Solution

The fourth proportional to 299,693.91, 413,577.59 and 165,557.91 is: 228,469.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,693.91 : 413,577.59 = 165,557.91 : x
  2. Step 2: Convert to fraction form
    299,693.91/413,577.59 = 165,557.91/x
  3. Step 3: Cross multiply
    299,693.91x = 413,577.59 × 165,557.91
  4. Step 4: Simplify right side
    299,693.91x = 68,471,041,837.13
  5. Step 5: Solve for x
    x = 68,471,041,837.13/299,693.91
  6. Step 6: Final answer
    x = 228,469.91

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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.