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Finding the Fourth Proportional to 409,587.20, 613,983.82 and 156,672.93

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Solution

The fourth proportional to 409,587.20, 613,983.82 and 156,672.93 is: 234,857.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,587.20 : 613,983.82 = 156,672.93 : x
  2. Step 2: Convert to fraction form
    409,587.20/613,983.82 = 156,672.93/x
  3. Step 3: Cross multiply
    409,587.20x = 613,983.82 × 156,672.93
  4. Step 4: Simplify right side
    409,587.20x = 96,194,644,051.99
  5. Step 5: Solve for x
    x = 96,194,644,051.99/409,587.20
  6. Step 6: Final answer
    x = 234,857.54

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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.