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Finding the Fourth Proportional to 463,206.75, 638,717.72 and 301,762.41

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Solution

The fourth proportional to 463,206.75, 638,717.72 and 301,762.41 is: 416,101.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,206.75 : 638,717.72 = 301,762.41 : x
  2. Step 2: Convert to fraction form
    463,206.75/638,717.72 = 301,762.41/x
  3. Step 3: Cross multiply
    463,206.75x = 638,717.72 × 301,762.41
  4. Step 4: Simplify right side
    463,206.75x = 192,740,996,988.09
  5. Step 5: Solve for x
    x = 192,740,996,988.09/463,206.75
  6. Step 6: Final answer
    x = 416,101.44

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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.