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Finding the Fourth Proportional to 722,601.12, 997,186.32 and 416,676

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Solution

The fourth proportional to 722,601.12, 997,186.32 and 416,676 is: 575,011.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,601.12 : 997,186.32 = 416,676 : x
  2. Step 2: Convert to fraction form
    722,601.12/997,186.32 = 416,676/x
  3. Step 3: Cross multiply
    722,601.12x = 997,186.32 × 416,676
  4. Step 4: Simplify right side
    722,601.12x = 415,503,607,072.32
  5. Step 5: Solve for x
    x = 415,503,607,072.32/722,601.12
  6. Step 6: Final answer
    x = 575,011.02

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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.