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Finding the Fourth Proportional to 481,708.16, 722,296.80 and 165,904.64

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Solution

The fourth proportional to 481,708.16, 722,296.80 and 165,904.64 is: 248,765.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,708.16 : 722,296.80 = 165,904.64 : x
  2. Step 2: Convert to fraction form
    481,708.16/722,296.80 = 165,904.64/x
  3. Step 3: Cross multiply
    481,708.16x = 722,296.80 × 165,904.64
  4. Step 4: Simplify right side
    481,708.16x = 119,832,390,577.15
  5. Step 5: Solve for x
    x = 119,832,390,577.15/481,708.16
  6. Step 6: Final answer
    x = 248,765.54

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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.