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Finding the Fourth Proportional to 466,098.40, 699,673.20 and 308,634.40

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Solution

The fourth proportional to 466,098.40, 699,673.20 and 308,634.40 is: 463,299.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,098.40 : 699,673.20 = 308,634.40 : x
  2. Step 2: Convert to fraction form
    466,098.40/699,673.20 = 308,634.40/x
  3. Step 3: Cross multiply
    466,098.40x = 699,673.20 × 308,634.40
  4. Step 4: Simplify right side
    466,098.40x = 215,943,218,278.08
  5. Step 5: Solve for x
    x = 215,943,218,278.08/466,098.40
  6. Step 6: Final answer
    x = 463,299.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.