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Finding the Fourth Proportional to 722,672.68, 997,261.83 and 416,761.96

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Solution

The fourth proportional to 722,672.68, 997,261.83 and 416,761.96 is: 575,116.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,672.68 : 997,261.83 = 416,761.96 : x
  2. Step 2: Convert to fraction form
    722,672.68/997,261.83 = 416,761.96/x
  3. Step 3: Cross multiply
    722,672.68x = 997,261.83 × 416,761.96
  4. Step 4: Simplify right side
    722,672.68x = 415,620,794,903.99
  5. Step 5: Solve for x
    x = 415,620,794,903.99/722,672.68
  6. Step 6: Final answer
    x = 575,116.24

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1.5x scale

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.