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Finding the Fourth Proportional to 456,524, 685,097.04 and 161,036

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Solution

The fourth proportional to 456,524, 685,097.04 and 161,036 is: 241,663.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,524 : 685,097.04 = 161,036 : x
  2. Step 2: Convert to fraction form
    456,524/685,097.04 = 161,036/x
  3. Step 3: Cross multiply
    456,524x = 685,097.04 × 161,036
  4. Step 4: Simplify right side
    456,524x = 110,325,286,933.44
  5. Step 5: Solve for x
    x = 110,325,286,933.44/456,524
  6. Step 6: Final answer
    x = 241,663.72

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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.