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Finding the Fourth Proportional to 333,046.20, 499,634.10 and 96,396.60

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Solution

The fourth proportional to 333,046.20, 499,634.10 and 96,396.60 is: 144,613.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,046.20 : 499,634.10 = 96,396.60 : x
  2. Step 2: Convert to fraction form
    333,046.20/499,634.10 = 96,396.60/x
  3. Step 3: Cross multiply
    333,046.20x = 499,634.10 × 96,396.60
  4. Step 4: Simplify right side
    333,046.20x = 48,163,028,484.06
  5. Step 5: Solve for x
    x = 48,163,028,484.06/333,046.20
  6. Step 6: Final answer
    x = 144,613.66

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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.