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Finding the Fourth Proportional to 754,434, 1,040,496.84 and 452,414.16

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Solution

The fourth proportional to 754,434, 1,040,496.84 and 452,414.16 is: 623,958.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,434 : 1,040,496.84 = 452,414.16 : x
  2. Step 2: Convert to fraction form
    754,434/1,040,496.84 = 452,414.16/x
  3. Step 3: Cross multiply
    754,434x = 1,040,496.84 × 452,414.16
  4. Step 4: Simplify right side
    754,434x = 470,735,503,851.25
  5. Step 5: Solve for x
    x = 470,735,503,851.25/754,434
  6. Step 6: Final answer
    x = 623,958.50

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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.