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Finding the Fourth Proportional to 733,634.70, 1,012,464.27 and 411,365.40

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Solution

The fourth proportional to 733,634.70, 1,012,464.27 and 411,365.40 is: 567,711.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,634.70 : 1,012,464.27 = 411,365.40 : x
  2. Step 2: Convert to fraction form
    733,634.70/1,012,464.27 = 411,365.40/x
  3. Step 3: Cross multiply
    733,634.70x = 1,012,464.27 × 411,365.40
  4. Step 4: Simplify right side
    733,634.70x = 416,492,769,414.26
  5. Step 5: Solve for x
    x = 416,492,769,414.26/733,634.70
  6. Step 6: Final answer
    x = 567,711.38

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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.