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Finding the Fourth Proportional to 463,189.74, 694,659.60 and 163,630.89

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Solution

The fourth proportional to 463,189.74, 694,659.60 and 163,630.89 is: 245,402.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,189.74 : 694,659.60 = 163,630.89 : x
  2. Step 2: Convert to fraction form
    463,189.74/694,659.60 = 163,630.89/x
  3. Step 3: Cross multiply
    463,189.74x = 694,659.60 × 163,630.89
  4. Step 4: Simplify right side
    463,189.74x = 113,667,768,595.04
  5. Step 5: Solve for x
    x = 113,667,768,595.04/463,189.74
  6. Step 6: Final answer
    x = 245,402.17

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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.