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Finding the Fourth Proportional to 468,396.48, 646,227.68 and 264,423.36

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Solution

The fourth proportional to 468,396.48, 646,227.68 and 264,423.36 is: 364,814.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,396.48 : 646,227.68 = 264,423.36 : x
  2. Step 2: Convert to fraction form
    468,396.48/646,227.68 = 264,423.36/x
  3. Step 3: Cross multiply
    468,396.48x = 646,227.68 × 264,423.36
  4. Step 4: Simplify right side
    468,396.48x = 170,877,694,470.61
  5. Step 5: Solve for x
    x = 170,877,694,470.61/468,396.48
  6. Step 6: Final answer
    x = 364,814.22

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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.