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Finding the Fourth Proportional to 413,122.16, 619,608.68 and 109,518.32

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Solution

The fourth proportional to 413,122.16, 619,608.68 and 109,518.32 is: 164,257.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,122.16 : 619,608.68 = 109,518.32 : x
  2. Step 2: Convert to fraction form
    413,122.16/619,608.68 = 109,518.32/x
  3. Step 3: Cross multiply
    413,122.16x = 619,608.68 × 109,518.32
  4. Step 4: Simplify right side
    413,122.16x = 67,858,501,691.02
  5. Step 5: Solve for x
    x = 67,858,501,691.02/413,122.16
  6. Step 6: Final answer
    x = 164,257.71

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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.