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Finding the Fourth Proportional to 412,967.67, 619,332.44 and 113,458.02

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Solution

The fourth proportional to 412,967.67, 619,332.44 and 113,458.02 is: 170,154.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,967.67 : 619,332.44 = 113,458.02 : x
  2. Step 2: Convert to fraction form
    412,967.67/619,332.44 = 113,458.02/x
  3. Step 3: Cross multiply
    412,967.67x = 619,332.44 × 113,458.02
  4. Step 4: Simplify right side
    412,967.67x = 70,268,231,796.88
  5. Step 5: Solve for x
    x = 70,268,231,796.88/412,967.67
  6. Step 6: Final answer
    x = 170,154.32

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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.