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Finding the Fourth Proportional to 632,633.80, 947,568.30 and 491,283.40

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Solution

The fourth proportional to 632,633.80, 947,568.30 and 491,283.40 is: 735,851.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,633.80 : 947,568.30 = 491,283.40 : x
  2. Step 2: Convert to fraction form
    632,633.80/947,568.30 = 491,283.40/x
  3. Step 3: Cross multiply
    632,633.80x = 947,568.30 × 491,283.40
  4. Step 4: Simplify right side
    632,633.80x = 465,524,576,156.22
  5. Step 5: Solve for x
    x = 465,524,576,156.22/632,633.80
  6. Step 6: Final answer
    x = 735,851.57

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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.