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Finding the Fourth Proportional to 422,530.93, 633,931.87 and 123,029.48

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Solution

The fourth proportional to 422,530.93, 633,931.87 and 123,029.48 is: 184,583.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,530.93 : 633,931.87 = 123,029.48 : x
  2. Step 2: Convert to fraction form
    422,530.93/633,931.87 = 123,029.48/x
  3. Step 3: Cross multiply
    422,530.93x = 633,931.87 × 123,029.48
  4. Step 4: Simplify right side
    422,530.93x = 77,992,309,829.46
  5. Step 5: Solve for x
    x = 77,992,309,829.46/422,530.93
  6. Step 6: Final answer
    x = 184,583.67

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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.