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Finding the Fourth Proportional to 468,406.50, 646,488.54 and 267,202.50

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Solution

The fourth proportional to 468,406.50, 646,488.54 and 267,202.50 is: 368,789.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,406.50 : 646,488.54 = 267,202.50 : x
  2. Step 2: Convert to fraction form
    468,406.50/646,488.54 = 267,202.50/x
  3. Step 3: Cross multiply
    468,406.50x = 646,488.54 × 267,202.50
  4. Step 4: Simplify right side
    468,406.50x = 172,743,354,109.35
  5. Step 5: Solve for x
    x = 172,743,354,109.35/468,406.50
  6. Step 6: Final answer
    x = 368,789.40

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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.