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Finding the Fourth Proportional to 379,548.80, 569,239.36 and 109,618.24

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Solution

The fourth proportional to 379,548.80, 569,239.36 and 109,618.24 is: 164,403.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,548.80 : 569,239.36 = 109,618.24 : x
  2. Step 2: Convert to fraction form
    379,548.80/569,239.36 = 109,618.24/x
  3. Step 3: Cross multiply
    379,548.80x = 569,239.36 × 109,618.24
  4. Step 4: Simplify right side
    379,548.80x = 62,399,016,781.93
  5. Step 5: Solve for x
    x = 62,399,016,781.93/379,548.80
  6. Step 6: Final answer
    x = 164,403.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.