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Finding the Fourth Proportional to 722,604.12, 997,190.46 and 416,679

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Solution

The fourth proportional to 722,604.12, 997,190.46 and 416,679 is: 575,015.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,604.12 : 997,190.46 = 416,679 : x
  2. Step 2: Convert to fraction form
    722,604.12/997,190.46 = 416,679/x
  3. Step 3: Cross multiply
    722,604.12x = 997,190.46 × 416,679
  4. Step 4: Simplify right side
    722,604.12x = 415,508,323,682.34
  5. Step 5: Solve for x
    x = 415,508,323,682.34/722,604.12
  6. Step 6: Final answer
    x = 575,015.16

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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.