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Finding the Fourth Proportional to 461,717.09, 637,180.30 and 289,642.30

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Solution

The fourth proportional to 461,717.09, 637,180.30 and 289,642.30 is: 399,713.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,717.09 : 637,180.30 = 289,642.30 : x
  2. Step 2: Convert to fraction form
    461,717.09/637,180.30 = 289,642.30/x
  3. Step 3: Cross multiply
    461,717.09x = 637,180.30 × 289,642.30
  4. Step 4: Simplify right side
    461,717.09x = 184,554,366,375.79
  5. Step 5: Solve for x
    x = 184,554,366,375.79/461,717.09
  6. Step 6: Final answer
    x = 399,713.09

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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.