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Finding the Fourth Proportional to 410,881.62, 616,353.42 and 122,670.45

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Solution

The fourth proportional to 410,881.62, 616,353.42 and 122,670.45 is: 184,014.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,881.62 : 616,353.42 = 122,670.45 : x
  2. Step 2: Convert to fraction form
    410,881.62/616,353.42 = 122,670.45/x
  3. Step 3: Cross multiply
    410,881.62x = 616,353.42 × 122,670.45
  4. Step 4: Simplify right side
    410,881.62x = 75,608,347,695.32
  5. Step 5: Solve for x
    x = 75,608,347,695.32/410,881.62
  6. Step 6: Final answer
    x = 184,014.92

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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.