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Finding the Fourth Proportional to 468,412.50, 646,496.82 and 267,208.50

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Solution

The fourth proportional to 468,412.50, 646,496.82 and 267,208.50 is: 368,797.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,412.50 : 646,496.82 = 267,208.50 : x
  2. Step 2: Convert to fraction form
    468,412.50/646,496.82 = 267,208.50/x
  3. Step 3: Cross multiply
    468,412.50x = 646,496.82 × 267,208.50
  4. Step 4: Simplify right side
    468,412.50x = 172,749,445,526.97
  5. Step 5: Solve for x
    x = 172,749,445,526.97/468,412.50
  6. Step 6: Final answer
    x = 368,797.68

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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.