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Finding the Fourth Proportional to 409,194.72, 613,124.64 and 251,089.20

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Solution

The fourth proportional to 409,194.72, 613,124.64 and 251,089.20 is: 376,224.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,194.72 : 613,124.64 = 251,089.20 : x
  2. Step 2: Convert to fraction form
    409,194.72/613,124.64 = 251,089.20/x
  3. Step 3: Cross multiply
    409,194.72x = 613,124.64 × 251,089.20
  4. Step 4: Simplify right side
    409,194.72x = 153,948,975,357.89
  5. Step 5: Solve for x
    x = 153,948,975,357.89/409,194.72
  6. Step 6: Final answer
    x = 376,224.25

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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.